The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+1x^10+24x^11+1x^12+4x^13+1x^14

The gray image is a code over GF(2) with n=88, k=5 and d=40.
This code was found by Heurico 1.16 in 0.000442 seconds.