The generator matrix

 1  1  1  1  1  1  1  1  2  2  2
 0 12  0  0  8 12 12  4  8  8  0
 0  0 12  0 12 12  4  8  0  8  8
 0  0  0 12  4  8  4  4  4 12  4

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

Homogenous weight enumerator: w(x)=1x^0+54x^8+64x^9+72x^10+640x^11+72x^12+64x^13+56x^14+1x^16

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 0.00292 seconds.