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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+14x^82+1x^84

The gray image is a code over GF(2) with n=308, k=4 and d=164.
This code was found by Heurico 1.16 in 0.179 seconds.