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  0  2  4  1  1  1  1  2  0  2  4  1  1  1  1  2  2  2  0  2  4  1  1  1  1  2  2  2  2  0  4  4  0  2  2  1  1  1  1  2  2  2  2  4  4  0  0  4  2  2  4  1  1  2  2  1
 0  2  4  6  0  6  4  2  0  6  4  2  0  6  4  2  0  6  4  2  0  6  4  2  6  2  2  2  0  6  4  2  6  2  2  2  0  4  6  2  0  4  6  2  2  2  0  4  6  2  0  4  6  2  2  2  4  4  0  4  0  4  6  2  0  4  6  2  0  4  4  2  2  0  4  0  0  4  6  2  0

generates a code of length 81 over Z8 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+2x^82+22x^83+3x^84+1x^86+2x^87+1x^90

The gray image is a code over GF(2) with n=324, k=5 and d=164.
This code was found by Heurico 1.16 in 0.168 seconds.