The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^11+118x^12+194x^13+95x^14+26x^15+9x^16+14x^17+1x^22

The gray image is a code over GF(2) with n=104, k=9 and d=44.
This code was found by Heurico 1.16 in 0.00212 seconds.