The generator matrix

 1  0  1  1  1  6  1  1  1  1 12 10  1
 0  1  3  6  5  1 12 10 15  9  1  1  0
 0  0  8  8  0  8  8  0  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+28x^11+190x^12+72x^13+190x^14+28x^15+1x^16+2x^18

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 0.00113 seconds.