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  1  1  1  1  1  1  1  1  3  3  3  3  1  1  3  3  3  3  1  1  1  1  1  1  1  1  1  1  1  3  3  9  3  3  3  9  9  9  9  3  3  9  9  9
 0  9  0  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  0  9  9  9  9  0  9  0  9 18 18 18  0 18 18 18  0  0  9  9  0  9 18 18  0  0  9  9  9  9  9 18 18  0 18 18  0  9 18
 0  0  9 18 18  9  0  9 18  0  9 18  9 18  0  0  9 18  0  9 18  9 18  0  0  9 18  0  9 18  9 18  0  0  9 18  0  9 18  9 18  0  9  9 18  0  0  9 18 18  0  9 18  0  9 18  9 18  0  0  9  9 18 18 18  9  0  9  0  9 18  9  0  9  0 18

generates a code of length 76 over Z27 who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+180x^151+18x^154+12x^156+12x^159+18x^160+2x^162

The gray image is a code over GF(3) with n=684, k=5 and d=453.
This code was found by Heurico 1.16 in 0.402 seconds.