The generator matrix

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

generates a code of length 13 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+94x^12+64x^13+94x^14+1x^16+2x^18

The gray image is a code over GF(2) with n=104, k=8 and d=48.
This code was found by Heurico 1.16 in 0.000694 seconds.