The generator matrix

 1  0  1  1  1  6  1  1  8  1  1  4  1
 0  1 11  6  5  1  0  3  1  8 14  8  0
 0  0 12  0  0  4  4 12  8  4  8  4  0
 0  0  0 12  0  4  4  4 12  0  4  8  0
 0  0  0  0  8  0  8  0  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  8  8  8  8

generates a code of length 13 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+52x^8+96x^9+431x^10+1472x^11+3612x^12+5056x^13+3612x^14+1472x^15+431x^16+96x^17+52x^18+1x^26

The gray image is a code over GF(2) with n=104, k=14 and d=32.
This code was found by Heurico 1.16 in 0.204 seconds.