The generator matrix

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

generates a code of length 15 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+105x^12+144x^13+478x^14+608x^15+474x^16+144x^17+76x^18+11x^20+6x^22+1x^24

The gray image is a code over GF(2) with n=120, k=11 and d=48.
This code was found by Heurico 1.16 in 0.515 seconds.