The generator matrix

 1  1  1  1  1  1  1  2  1  2  2  1  1
 0 12  0  0  0  0  0 12  4  8  4  8  0
 0  0 12  0  0  8 12  4  0  8  4  8  0
 0  0  0 12  0 12 12  8  4 12 12  0  0
 0  0  0  0 12  4  8  4  8  0 12  0  0

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

Homogenous weight enumerator: w(x)=1x^0+80x^8+184x^10+192x^11+190x^12+2688x^13+352x^14+192x^15+159x^16+40x^18+18x^20

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 0.0327 seconds.