The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+317x^10+912x^11+2454x^12+5830x^13+13989x^14+18314x^15+14311x^16+5788x^17+2503x^18+836x^19+194x^20+62x^21+23x^22+2x^23

The gray image is a code over GF(2) with n=120, k=16 and d=40.
This code was found by Heurico 1.16 in 10.8 seconds.