The generator matrix

 1  0  1  1  1  4  1  1  1  6 12  1  1  2  1
 0  1  1  0 11  1  6 13 10  1  2  7  7  4  0
 0  0  2  6  0  2  0  8  6  4  2 14  6  2  4
 0  0  0 12  0  4  4  4  4  4 12  8 12 12  4
 0  0  0  0 12  4  4  8 12  8  0 12  0 12  0
 0  0  0  0  0  8  0  0  0  8  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+233x^10+356x^11+2090x^12+6132x^13+14568x^14+18760x^15+14567x^16+6152x^17+2134x^18+340x^19+174x^20+4x^21+24x^22+1x^26

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 9.38 seconds.