The generator matrix

 1  0  1  1  1  6  1  1  1  1  1
 0  1  3  6  5  1 12 10 15  9  8

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

Homogenous weight enumerator: w(x)=1x^0+86x^10+80x^11+87x^12+1x^14+1x^18

The gray image is a code over GF(2) with n=88, k=8 and d=40.
This code was found by Heurico 1.16 in 0.0005 seconds.