The generator matrix

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

generates a code of length 13 over Z16 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+6x^11+15x^12+212x^13+15x^14+6x^15+1x^26

The gray image is a code over GF(2) with n=104, k=8 and d=44.
This code was found by Heurico 1.16 in 0.000919 seconds.