The generator matrix

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

generates a code of length 11 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+52x^9+90x^10+256x^11+54x^12+36x^13+14x^14+8x^15+1x^16

The gray image is a code over GF(2) with n=88, k=9 and d=36.
This code was found by Heurico 1.16 in 0.00173 seconds.