The generator matrix

 1  1  1  1  1  1  8  1  1  1  4  4  1
 0  2  0  2  0  8  4 10  6  0  4  2  0
 0  0  2  2 12 14  2  6  0  6  2  2  0
 0  0  0  8  0  0  8  0  8  8  0  0  8
 0  0  0  0  8  8  8  0  0  8  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+34x^9+154x^10+258x^11+933x^12+1342x^13+933x^14+252x^15+153x^16+30x^17+2x^19+1x^20+2x^21+1x^22

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 0.0298 seconds.