The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^6+64x^7+247x^8+384x^9+1160x^10+1472x^11+2624x^12+20736x^13+2616x^14+1472x^15+1175x^16+384x^17+248x^18+64x^19+48x^20+8x^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 0.645 seconds.