The generator matrix
1 1 1 1 2 1 2 2 2 1 1
0 12 8 4 12 0 4 8 0 12 8
generates a code of length 11 over Z16 who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+3x^10+54x^11+3x^12+1x^14+2x^15
The gray image is a code over GF(2) with n=88, k=6 and d=40.
This code was found by Heurico 1.16 in 0.000542 seconds.