The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 2 2 2 1 4 1 0 4 8 2 2 1 4 1 4 2 8 0 1 1
0 12 8 4 0 12 8 4 0 12 8 4 12 4 0 12 8 4 12 0 8 4 0 12 8 4 4 4 0 8 12 8 4 0 12 8 4 0 0
generates a code of length 39 over Z16 who´s minimum homogenous weight is 38.
Homogenous weight enumerator: w(x)=1x^0+18x^38+16x^39+9x^40+16x^41+2x^42+2x^44
The gray image is a code over GF(2) with n=312, k=6 and d=152.
This code was found by Heurico 1.16 in 0.0211 seconds.