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

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

Homogenous weight enumerator: w(x)=1x^0+32x^81+6x^82+16x^83+6x^84+1x^86+1x^88+1x^94

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 0.226 seconds.