The generator matrix

 1  0  0  1  1  1 14  1  1  1  2  1  1
 0  1  0  1  6 15  1  1  9  2  1  7  2
 0  0  1  1 11  2  3  1  3  2  5  3  1
 0  0  0 12  0  0  0 12  8  4 12  8  0
 0  0  0  0 12  4  4 12  8 12  8  4  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^8+294x^9+1183x^10+5544x^11+14391x^12+22612x^13+14382x^14+5592x^15+1175x^16+246x^17+51x^18+16x^19+3x^20

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 2.78 seconds.