The generator matrix

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

generates a code of length 16 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+20x^9+83x^10+150x^11+256x^12+510x^13+895x^14+1360x^15+9779x^16+1386x^17+971x^18+512x^19+228x^20+130x^21+65x^22+24x^23+8x^24+2x^25+2x^26+2x^27

The gray image is a code over GF(2) with n=128, k=14 and d=36.
This code was found by Heurico 1.16 in 0.59 seconds.