The generator matrix

 1  0  1  1  1  2  1  1 12  1  8  1  2
 0  1  1  4  3  1 10 13  1  6  2  3  1
 0  0  2 10  8 10  6  4 14  0  2 14  4

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

Homogenous weight enumerator: w(x)=1x^0+318x^11+276x^12+916x^13+208x^14+288x^15+27x^16+12x^17+2x^19

The gray image is a code over GF(2) with n=104, k=11 and d=44.
This code was found by Heurico 1.16 in 3.83 seconds.