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.