The generator matrix

 1  0  1  1  1  4  2  1  1  6  1  1 10
 0  1  1  0 11  1  2  9 10  1  6  9  1
 0  0  2  6  4  6  2  2  6  4  0  6  2
 0  0  0 12  0  4 12 12  8 12  0  0  4
 0  0  0  0  8  0  0  8  8  8  0  0  0
 0  0  0  0  0  8  0  8  0  8  0  8  0
 0  0  0  0  0  0  8  8  0  0  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+135x^8+272x^9+1632x^10+4864x^11+15488x^12+20512x^13+15936x^14+4736x^15+1511x^16+336x^17+96x^18+16x^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 3.68 seconds.