The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+131x^8+80x^9+608x^10+1088x^11+3884x^12+4832x^13+3808x^14+1088x^15+699x^16+80x^17+64x^18+20x^20+1x^24

The gray image is a code over GF(2) with n=104, k=14 and d=32.
This code was found by Heurico 1.16 in 0.353 seconds.