The generator matrix

 1  0  1  1  1  2  1  1  1  1  1  1  1
 0  1  1  0  3  1 12 14  9 13 10  8 12
 0  0  2  0  6  0  2  6  4  0  6  2  8
 0  0  0  2  6  2  4  2  2  4  0  6 14
 0  0  0  0  8  0  0  0  8  8  0  8  8
 0  0  0  0  0  8  0  0  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+85x^8+448x^9+1341x^10+4428x^11+13965x^12+25040x^13+13871x^14+4488x^15+1370x^16+400x^17+83x^18+12x^19+3x^20+1x^22

The gray image is a code over GF(2) with n=104, k=16 and d=32.
This code was found by Heurico 1.16 in 2.83 seconds.