The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 2 2 1 2 4 1 2 2 4 2 4 2 8 0 4 2 8 1
0 8 0 8 0 8 0 8 0 8 0 8 8 0 8 8 0 8 0 8 0 0 8 8 8 0 8 0 0 8 8 8 0 0 0 0
generates a code of length 36 over Z16 who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+1x^36+26x^37+2x^38+2x^39
The gray image is a code over GF(2) with n=288, k=5 and d=144.
This code was found by Heurico 1.16 in 0.0132 seconds.