The generator matrix
1 1 1 1 1 1 2 2 2 4 2 4 1
0 8 0 8 0 8 8 0 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+1x^12+22x^13+2x^14+6x^15
The gray image is a code over GF(2) with n=104, k=5 and d=48.
This code was found by Heurico 1.16 in 0.000487 seconds.