The generator matrix
1 0 0 1 1 1 14 1 1 0 12 1 1 2 1
0 1 0 1 6 7 1 8 4 1 1 15 1 4 0
0 0 1 1 3 2 3 0 3 7 5 0 1 6 0
0 0 0 12 0 8 12 4 4 12 8 0 8 12 0
0 0 0 0 8 8 8 0 8 0 8 8 8 0 0
generates a code of length 15 over Z16 who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+96x^10+354x^11+1101x^12+3018x^13+6494x^14+10684x^15+6450x^16+2988x^17+1132x^18+354x^19+79x^20+10x^21+6x^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 1.08 seconds.