The generator matrix

 1  0  0  1  1  1 14  1  1  8  0  1
 0  1  0  1  6  7  1  8 10  0  4  8
 0  0  1  1  3  2  3  0  7  1  2  8
 0  0  0 12  0  8 12  4  4  4 12  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+114x^8+332x^9+1300x^10+3128x^11+6640x^12+3120x^13+1312x^14+328x^15+93x^16+4x^17+12x^18

The gray image is a code over GF(2) with n=96, k=14 and d=32.
This code was found by Heurico 1.16 in 0.281 seconds.