The generator matrix

 1  0  1  1  1 10  1  1  0  1  1
 0  1  1  4 11  1  2  0  0 10  8
 0  0  2  2  4  6 10 14  2  6  8
 0  0  0  8  0  0  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+80x^8+352x^9+760x^10+1744x^11+732x^12+320x^13+88x^14+16x^15+3x^16

The gray image is a code over GF(2) with n=88, k=12 and d=32.
This code was found by Heurico 1.16 in 0.0171 seconds.