The generator matrix

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

generates a code of length 11 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+46x^10+32x^11+46x^12+2x^14+1x^16

The gray image is a code over GF(2) with n=88, k=7 and d=40.
This code was found by Heurico 1.16 in 0.000879 seconds.