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

generates a code of length 84 over Z8 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+34x^81+83x^82+21x^84+24x^85+71x^86+7x^88+4x^89+5x^90+3x^92+1x^110+2x^113

The gray image is a code over GF(2) with n=336, k=8 and d=162.
This code was found by Heurico 1.16 in 0.269 seconds.