The generator matrix

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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+3x^80+20x^81+4x^82+4x^85

The gray image is a code over GF(2) with n=316, k=5 and d=160.
This code was found by Heurico 1.16 in 0.153 seconds.