The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^8+42x^9+279x^10+304x^11+278x^12+36x^13+38x^14+2x^17+3x^18

The gray image is a code over GF(2) with n=88, k=10 and d=32.
This code was found by Heurico 1.16 in 0.00281 seconds.