The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+255x^8+544x^9+3072x^10+3456x^11+17112x^12+16576x^13+17216x^14+3456x^15+3087x^16+544x^17+192x^18+24x^20+1x^24

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 7.8 seconds.