The generator matrix

 1  0  0  1  1  1  6  1  1  1  1  1  1  4  1
 0  1  0  4  1 11  1  4 14 10 15 14 15  1  5
 0  0  1  7  1  4  3  2  4  3  6  2 11  2  6
 0  0  0  8  8  8  0  0  0  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+246x^12+912x^13+1458x^14+3004x^15+1441x^16+856x^17+234x^18+28x^19+8x^20+4x^22

The gray image is a code over GF(2) with n=120, k=13 and d=48.
This code was found by Heurico 1.16 in 0.115 seconds.