The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  2
 0 12  0  0  0  4 12 12  8  8  8  4  4
 0  0 12  0  4  4  4  0  8  0 12 12  4
 0  0  0 12  4  8  4  4  0  4 12  8  0
 0  0  0  0  8  8  0  8  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+40x^9+66x^10+100x^11+201x^12+1248x^13+177x^14+120x^15+53x^16+24x^17+12x^18+4x^19+1x^20+1x^22

The gray image is a code over GF(2) with n=104, k=11 and d=36.
This code was found by Heurico 1.16 in 0.0113 seconds.