The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  1  1  2  2  2  1  1  1  1  2  2  2  1  4  4  4  0  0  0  2  1  1  1  2  2  2  2  2  4  4  4  0  0  0  4  1  2  1  1
 0  4  0  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  0  4  4  4  4  0  0  0  4  4  0  0  4  4  0  0  4  4  4  4  0  0  0  0  0  4
 0  0  4  4  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  0  4  4

generates a code of length 64 over Z8 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+16x^65+3x^66+8x^67+3x^68+1x^70

The gray image is a code over GF(2) with n=256, k=5 and d=130.
This code was found by Heurico 1.16 in 0.097 seconds.