The generator matrix
1 1 1 1 1 2 1 1 2 1 4 0 1 1
0 12 8 4 0 12 12 8 4 4 12 4 0 8
generates a code of length 14 over Z16 who´s minimum homogenous weight is 13.
Homogenous weight enumerator: w(x)=1x^0+16x^13+28x^14+16x^15+1x^16+2x^20
The gray image is a code over GF(2) with n=112, k=6 and d=52.
This code was found by Heurico 1.16 in 0.000734 seconds.