The generator matrix

 1  1  1  1  1  1  1  1  2  8  4  0  8  2  1
 0  2  0  0  0  2  6  2  8  0  2  2  4  2 14
 0  0  2  0  2  2  2  4  2  2  4  4  0 10  6
 0  0  0  2  2  0  2  6  6  4  6  4  2  0 12
 0  0  0  0  8  0  0  0  0  8  8  0  0  8  8
 0  0  0  0  0  8  8  0  0  8  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+127x^10+500x^11+1274x^12+3348x^13+6774x^14+8680x^15+6807x^16+3400x^17+1288x^18+420x^19+110x^20+36x^21+2x^22+1x^26

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 1.82 seconds.