The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  2  8  1  1
 0  1 11  6  1  1  0  3  1  5  3  8  1  8  0
 0  0 12  0  0  0  4  4  0  8 12  8  0  0  0
 0  0  0 12  0  0  4  0  8  4  4  8  8 12  0
 0  0  0  0  4  0 12  4  4  4  4  4 12  0  0
 0  0  0  0  0 12 12  8  4  8 12  0  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+29x^8+106x^9+225x^10+658x^11+1753x^12+5522x^13+14357x^14+20174x^15+14408x^16+5554x^17+1763x^18+670x^19+187x^20+78x^21+39x^22+2x^23+6x^24+4x^25

The gray image is a code over GF(2) with n=120, k=16 and d=32.
This code was found by Heurico 1.16 in 3.1 seconds.