Explanation:

- Let's denote the six consecutive odd numbers as $x,x+2,x+4,x+6,x+8,x+10$.

- The average of these numbers is given as 26.

- So, the equation for the average is: $\frac{x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)}{6}=26$.

- Simplifying, we get: $\frac{6x+30}{6}=26$.

- Multiply each side by 6: $6x+30=156$.

- Subtract 30 from both sides: $6x=126$.

- Divide by 6: $x=21$.

- The numbers are 21, 23, 25, 27, 29, and 31.

- The largest number is 31 and the smallest number is 21.

- The difference is $31-21=10$.

Therefore, the correct option is Option:3 - 10