The generator matrix

 1  0  1  1  1  4  1  6  2  1  1  1  2  2  2
 0  1  1  0 11  1 10  1 10  9  6 14 12  0  6
 0  0  2  6  4  6  6  4  2  2  6  0  2  4  8
 0  0  0 12  0  4  8 12 12 12  0  4  4 12  8
 0  0  0  0  8  0  8  8  8  0  0  0  0  0  8
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+132x^10+344x^11+1147x^12+3200x^13+6710x^14+9760x^15+6550x^16+3312x^17+1208x^18+264x^19+109x^20+16x^21+14x^22+1x^24

The gray image is a code over GF(2) with n=120, k=15 and d=40.
This code was found by Heurico 1.16 in 1.28 seconds.