The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  6  2  2  1
 0  1  3  6  5  1 12 15  1  9 10  1  0  0  0
 0  0  8  0  0  0  8  8  0  0  8  0  0  8  0
 0  0  0  8  0  0  8  0  0  8  8  8  0  8  0
 0  0  0  0  8  0  8  8  8  8  0  0  8  0  0
 0  0  0  0  0  8  8  0  8  0  8  0  8  8  0

generates a code of length 15 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+19x^10+54x^11+83x^12+322x^13+1185x^14+788x^15+1174x^16+316x^17+69x^18+54x^19+21x^20+2x^21+7x^22+1x^24

The gray image is a code over GF(2) with n=120, k=12 and d=40.
This code was found by Heurico 1.16 in 0.0209 seconds.