The generator matrix

 1  0  1  1  1 10  4  1  1  1  0  2  8  1  1
 0  1  1  0  3  1  1 11  0 15  1  4  1  7  0
 0  0  2  0  6 10  0  8  6 12 14 12  2 12  0
 0  0  0  2  6 12  2 12  6  2  6 14  8  6  0
 0  0  0  0  8  0  8  8  0  0  8  0  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+92x^10+430x^11+875x^12+3178x^13+6844x^14+9916x^15+6846x^16+3236x^17+852x^18+374x^19+101x^20+18x^21+4x^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 1.34 seconds.