The generator matrix

 1  1  1  1  2  0  1  1  1  1  1  1  1
 0  2  0 14  6  2  4  0  2 10 12  8  0
 0  0 12  4  0 12  4  0  4  8  0  4  0
 0  0  0  8  0  0  8  8  0  8  0  0  0
 0  0  0  0  8  0  8  8  8  8  0  8  0
 0  0  0  0  0  8  8  8  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+35x^8+32x^9+119x^10+176x^11+999x^12+1376x^13+997x^14+176x^15+116x^16+32x^17+33x^18+1x^20+3x^22

The gray image is a code over GF(2) with n=104, k=12 and d=32.
This code was found by Heurico 1.16 in 0.0216 seconds.