The generator matrix

 1  1  1  1  1  1  1  1  1  2  4  1  1  1  1
 0 12  0  4  0  0  4  4  8  8  8  0  4  4  0
 0  0 12  4  0 12 12  0  8  4  4  0  4 12  0
 0  0  0  8  0  0  8  0  0  8  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  8
 0  0  0  0  0  8  8  8  8  0  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+21x^10+18x^11+48x^12+82x^13+574x^14+572x^15+571x^16+76x^17+38x^18+18x^19+20x^20+2x^21+6x^22+1x^26

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 0.0121 seconds.