The generator matrix

 1  1  1  1  1  2  0  1  1  1  2  0  2  2  1
 0  2 12  6  0  6  2  6 12 10 10  2  6  6  0
 0  0  8  0  0  0  0  8  8  8  8  8  0  0  0
 0  0  0  8  0  0  8  8  8  8  0  0  0  0  0
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0
 0  0  0  0  0  8  8  8  8  0  0  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+10x^10+20x^11+90x^12+256x^13+288x^14+728x^15+281x^16+256x^17+82x^18+20x^19+10x^20+4x^22+2x^24

The gray image is a code over GF(2) with n=120, k=11 and d=40.
This code was found by Heurico 1.16 in 0.00993 seconds.