The generator matrix

 1  0  1  1  1  6  1  4  1  1  4  1  2  1
 0  1  1  6  3  1  4  1  3  2  1  3  0  3
 0  0  2  0  6  4  2  2  0  6  6  4  0  0
 0  0  0  4  0  4  0  4  0  4  0  0  4  0
 0  0  0  0  4  0  4  0  4  0  4  4  4  0

generates a code of length 14 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+26x^10+78x^11+64x^12+314x^13+76x^14+300x^15+59x^16+68x^17+26x^18+6x^19+4x^20+2x^21

The gray image is a code over GF(2) with n=56, k=10 and d=20.
This code was found by Heurico 1.16 in 0.00557 seconds.