The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^9+162x^10+316x^11+864x^12+1356x^13+860x^14+304x^15+155x^16+34x^17+2x^18+4x^19+4x^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 0.0341 seconds.