The generator matrix

 1  0  0  1  1  1  2  4  1  1  2  1  0  1
 0  1  0  1  2  7  1  0  6  5  1  6  1  3
 0  0  1  1  1  0  1  1  6  3  0  2  6  6
 0  0  0  2  0  6  4  6  4  0  6  6  4  6
 0  0  0  0  4  4  4  0  4  4  0  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+145x^10+180x^11+616x^12+560x^13+1039x^14+664x^15+619x^16+112x^17+127x^18+20x^19+12x^20+1x^22

The gray image is a code over GF(2) with n=56, k=12 and d=20.
This code was found by Heurico 1.16 in 0.0888 seconds.