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To solve the problem, we need to identify patterns in the given grid and fill in the missing numbers. Let's analyze the grid step by step.

Step 1: Analyze the Given Numbers

The grid is a 5x5 matrix with some numbers filled in and others left blank. Here is the initial grid:

```
2 5 9 14 20 10
7 11 16 11
8 11 20 26
12 19 30
6 9 16
14
```

Step 2: Look for Patterns

We will examine rows, columns, and diagonals to identify any consistent patterns.

#### Row Analysis:
- Row 1: \(2, 5, 9, 14, 20, 10\)
- Differences: \(5-2=3\), \(9-5=4\), \(14-9=5\), \(20-14=6\), \(10-20=-10\) (no clear pattern here yet).
- Row 2: \(?, 7, 11, 16, ?, 11\)
- Differences: \(11-7=4\), \(16-11=5\). The pattern seems to be increasing by 1 each time.
- Row 3: \(8, 11, ?, 20, 26, ?\)
- Differences: \(11-8=3\), \(20-11=9\), \(26-20=6\). No immediate clear pattern.
- Row 4: \(12, ?, 19, ?, 30, ?\)
- Differences: \(19-12=7\), \(30-19=11\). No immediate clear pattern.
- Row 5: \(6, 9, ?, ?, ?, ?\)
- Differences: \(9-6=3\). No immediate clear pattern.
- Row 6: \(14, ?, ?, ?, 16\)
- Differences: \(16-14=2\). No immediate clear pattern.

#### Column Analysis:
- Column 1: \(2, ?, 8, 12, 6, 14\)
- Differences: \(8-2=6\), \(12-8=4\), \(6-12=-6\), \(14-6=8\). No clear pattern.
- Column 2: \(5, 7, 11, ?, 9, ?\)
- Differences: \(7-5=2\), \(11-7=4\), \(9-11=-2\). No clear pattern.
- Column 3: \(9, 11, ?, 19, ?, ?\)
- Differences: \(11-9=2\), \(19-11=8\). No clear pattern.
- Column 4: \(14, 16, 20, ?, ?, ?\)
- Differences: \(16-14=2\), \(20-16=4\). No clear pattern.
- Column 5: \(20, ?, 26, 30, ?, 16\)
- Differences: \(26-20=6\), \(30-26=4\), \(16-30=-14\). No clear pattern.
- Column 6: \(10, 11, ?, ?, ?, ?\)
- Differences: \(11-10=1\). No clear pattern.

#### Diagonal Analysis:
- Main Diagonal (Top-left to Bottom-right): \(2, 11, 20, ?, ?, 16\)
- Differences: \(11-2=9\), \(20-11=9\). The pattern seems to be increasing by 9.
- Anti-diagonal (Top-right to Bottom-left): \(10, 16, 26, ?, ?, 14\)
- Differences: \(16-10=6\), \(26-16=10\). No clear pattern.

Step 3: Fill in the Missing Numbers

Based on the analysis, let's fill in the missing numbers step by step.

#### Row 2:
- The pattern in Row 2 seems to be increasing by 1 in the differences: \(4, 5, 6, \ldots\).
- Missing number before 7: \(7 - 3 = 4\).
- Missing number after 16: \(16 + 7 = 23\).
- Row 2: \(4, 7, 11, 16, 23, 11\).

#### Row 3:
- The pattern in the main diagonal suggests increasing by 9.
- Missing number in Row 3, Column 3: \(20 - 9 = 11\).
- Row 3: \(8, 11, 11, 20, 26, ?\).

#### Row 4:
- The pattern in the main diagonal suggests increasing by 9.
- Missing number in Row 4, Column 2: \(19 - 9 = 10\).
- Missing number in Row 4, Column 4: \(20 + 9 = 29\).
- Row 4: \(12, 10, 19, 29, 30, ?\).

#### Row 5:
- The pattern in the main diagonal suggests increasing by 9.
- Missing number in Row 5, Column 3: \(19 - 9 = 10\).
- Row 5: \(6, 9, 10, ?, ?, ?\).

#### Row 6:
- The pattern in the main diagonal suggests increasing by 9.
- Missing number in Row 6, Column 4: \(29 + 9 = 38\).
- Row 6: \(14, ?, ?, 38, 16\).

#### Column 6:
- The pattern in Column 6 seems to be decreasing by 5: \(10, 11, ?, ?, ?, 16\).
- Missing number in Column 6, Row 3: \(11 - 5 = 6\).
- Missing number in Column 6, Row 4: \(6 - 5 = 1\).
- Column 6: \(10, 11, 6, 1, ?, 16\).

Final Grid:

After filling in all the missing numbers based on the identified patterns, the completed grid is:

```
2 5 9 14 20 10
4 7 11 16 23 11
8 11 11 20 26 6
12 10 19 29 30 1
6 9 10 ? ? ?
14 ? ? 38 16
```

Final Answer:

\[
\boxed{14, 17, 22, 27, 32, 37}
\]