The generator matrix

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

generates a code of length 13 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+52x^9+180x^10+396x^11+854x^12+1152x^13+832x^14+400x^15+167x^16+44x^17+12x^18+4x^19+2x^20

The gray image is a code over GF(2) with n=104, k=12 and d=36.
This code was found by Heurico 1.16 in 0.135 seconds.