The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^10+322x^11+474x^12+832x^13+660x^14+836x^15+495x^16+304x^17+70x^18+10x^19+6x^20

The gray image is a code over GF(2) with n=56, k=12 and d=20.
This code was found by Heurico 1.11 in 0.0358 seconds.