The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  1  2  1
 0 12  0 12  0 12  8  4  0  0  0 12 12  8  0
 0  0  8  0  0  0  8  0  0  0  8  8  0  8  0
 0  0  0  8  0  0  0  8  0  8  8  8  0  0  0
 0  0  0  0  8  0  8  0  0  8  0  8  8  0  0
 0  0  0  0  0  8  0  8  8  0  8  8  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+14x^10+8x^11+29x^12+32x^13+89x^14+688x^15+82x^16+32x^17+21x^18+8x^19+15x^20+3x^22+1x^24+1x^26

The gray image is a code over GF(2) with n=120, k=10 and d=40.
This code was found by Heurico 1.16 in 0.00435 seconds.