The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+30x^8+64x^9+216x^10+576x^11+865x^12+1408x^13+1872x^14+1408x^15+865x^16+576x^17+216x^18+64x^19+30x^20+1x^28

The gray image is a code over GF(2) with n=56, k=13 and d=16.
This code was found by Heurico 1.16 in 0.101 seconds.