The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  0  6  0  1
 0  1 11  6  5  1  5  0  1 13  8  1  1  1  0
 0  0 12  0  0  8  4 12  4  0  4  0  8  4  0
 0  0  0 12  0 12  4  4  8  4  8  8  8  4  0
 0  0  0  0  8  0  0  8  8  8  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+22x^10+100x^11+176x^12+714x^13+1851x^14+2472x^15+1849x^16+708x^17+172x^18+100x^19+21x^20+2x^21+3x^22+1x^28

The gray image is a code over GF(2) with n=120, k=13 and d=40.
This code was found by Heurico 1.16 in 0.0917 seconds.