The generator matrix

 1  1  1  1  1  1  2  0  1  1  8  2  8  8  2
 0  2  0  6  0  6  6  2  6 14  2  4  2  2  0
 0  0 12  0  0  4  0  4  8 12  8  4  4  0  0
 0  0  0 12 12  4  0 12  8  0 12  0  8 12  0
 0  0  0  0  8  0  0  8  8  8  0  8  8  0  8
 0  0  0  0  0  8  8  8  8  8  0  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+83x^10+104x^11+379x^12+512x^13+1832x^14+2352x^15+1862x^16+512x^17+376x^18+104x^19+61x^20+12x^22+1x^24+1x^26

The gray image is a code over GF(2) with n=120, k=13 and d=40.
This code was found by Heurico 1.16 in 0.173 seconds.