The generator matrix

 1  0  1  1  1  6  1  1  2  2  1
 0  1 11  6 13  1  8 14 14  2  0
 0  0 12  0  4  8  4 12  4  4  0
 0  0  0  8  8  8  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+69x^8+164x^9+509x^10+572x^11+502x^12+156x^13+66x^14+4x^15+4x^16+1x^18

The gray image is a code over GF(2) with n=88, k=11 and d=32.
This code was found by Heurico 1.16 in 0.00527 seconds.