The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^12+64x^13+88x^14+4x^16+1x^24

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 0.00154 seconds.