The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+138x^8+240x^9+1364x^10+2752x^11+6156x^12+11424x^13+6216x^14+2752x^15+1365x^16+240x^17+100x^18+20x^20

The gray image is a code over GF(2) with n=104, k=15 and d=32.
This code was found by Heurico 1.16 in 1.24 seconds.