The generator matrix

 1  0  0  1  1  1  2  1  4  1  8
 0  1  0  1  2  7  1  9  2 12  1
 0  0  1  1  5  2  5  7  1  4  0
 0  0  0 12  4  8  4  4  0 12  4

generates a code of length 11 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+368x^8+1092x^9+3452x^10+6532x^11+3520x^12+1068x^13+324x^14+12x^15+15x^16

The gray image is a code over GF(2) with n=88, k=14 and d=32.
This code was found by Heurico 1.16 in 0.266 seconds.