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

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

Homogenous weight enumerator: w(x)=1x^0+32x^81+18x^82+6x^84+4x^86+1x^88+2x^90

The gray image is a code over GF(2) with n=324, k=6 and d=162.
This code was found by Heurico 1.16 in 0.169 seconds.