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

generates a code of length 76 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+114x^150+486x^152+96x^153+18x^156+6x^159+2x^162+6x^177

The gray image is a code over GF(3) with n=684, k=6 and d=450.
This code was found by Heurico 1.16 in 0.283 seconds.