The generator matrix

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

generates a code of length 13 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+31x^6+50x^7+187x^8+350x^9+1216x^10+2378x^11+4708x^12+14918x^13+4710x^14+2390x^15+1219x^16+346x^17+184x^18+46x^19+28x^20+2x^21+3x^22+1x^24

The gray image is a code over GF(2) with n=104, k=15 and d=24.
This code was found by Heurico 1.16 in 0.437 seconds.