The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+55x^8+16x^9+294x^10+288x^11+560x^12+240x^13+4200x^14+5056x^15+4215x^16+240x^17+580x^18+288x^19+288x^20+16x^21+40x^22+1x^24+6x^26

The gray image is a code over GF(2) with n=120, k=14 and d=32.
This code was found by Heurico 1.16 in 0.237 seconds.