The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+161x^8+392x^10+384x^11+1456x^12+1536x^13+1960x^14+20736x^15+2395x^16+1536x^17+1176x^18+384x^19+560x^20+56x^22+35x^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 5.23 seconds.