The generator matrix

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

generates a code of length 15 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+76x^8+64x^9+284x^10+348x^11+1222x^12+1908x^13+5504x^14+13856x^15+5715x^16+1800x^17+1196x^18+380x^19+274x^20+68x^21+56x^22+8x^23+8x^24

The gray image is a code over GF(2) with n=120, k=15 and d=32.
This code was found by Heurico 1.16 in 1.01 seconds.