The generator matrix

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

generates a code of length 15 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+76x^9+166x^10+246x^11+314x^12+1288x^13+518x^14+11098x^15+587x^16+1324x^17+322x^18+234x^19+118x^20+64x^21+18x^22+6x^23+4x^24

The gray image is a code over GF(2) with n=120, k=14 and d=36.
This code was found by Heurico 1.16 in 22.1 seconds.