The generator matrix

 1  1  1  1  1  1  1  1  2  0  1
 0  2 12  6  8 14  4 10  6  2  0

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

Homogenous weight enumerator: w(x)=1x^0+30x^10+64x^11+31x^12+1x^14+1x^18

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 0.000409 seconds.