The generator matrix
1 1 1 1 1 1 1 1 2 2 2 2 4 1
0 8 0 0 0 8 8 8 0 0 8 0 8 0
0 0 8 0 8 8 8 0 0 8 8 8 8 0
0 0 0 8 8 0 8 8 8 8 0 0 0 0
generates a code of length 14 over Z16 who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+4x^12+28x^13+68x^14+16x^15+3x^16+4x^17+4x^18
The gray image is a code over GF(2) with n=112, k=7 and d=48.
This code was found by Heurico 1.16 in 0.00102 seconds.