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  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  9  1  1  1  1  1  1  1
 0  3 24  0 21 24  9  6 21 12 24  0  9 21 24  9 21  0 21 18 15  9  9 21  3 24 15 15  9 15  0  3  3  0  0 18 18  9 12  3  6  3 21 24 15  6  6  6  3 21 24 18 21 24  3  9  3  6  0  6 24  0 18  0 12 21  3 21  3 21  9  9  0 15 24  9  9 15 12
 0  0  9  0  0  0  0 18 18  9  9  0  0  9  9  0  9  9  0 18  9 18  9  9  0  0 18  0 18 18  9 18 18 18  9  9  9 18  9 18 18  0  0 18  0  9  9  9  0  9 18 18 18 18  0  0 18 18 18  0  0  9  9 18  9  9  9  9 18 18  0  0  0  0 18  9 18  9  0
 0  0  0  9  0  9 18 18  9 18  0  0  9  0  9  0 18 18  9  9  0  9 18 18  0  9 18  9  9 18 18  9  9 18  0  0  0 18  9 18  9  9 18  0  0  9  9 18  9  0  9  0  0  0 18 18 18  0  0 18 18  9 18  0  0  9 18  9 18  0  9  0 18  0  9  9 18 18  0
 0  0  0  0 18 18  0  9  9  0  9  9 18  9  9 18  9 18  0  9 18  0  0 18  9  9 18  0 18  0  9 18  0  0  9  0 18 18 18  0  0 18 18 18  0  0 18 18  9 18 18 18  0  0  0 18 18  9  0  9  0 18 18  9  0  9  9  0  9 18  9  0  9 18  9  9  9  9 18

generates a code of length 79 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+174x^150+448x^153+2268x^156+3114x^159+158x^162+96x^165+114x^168+120x^171+66x^174+2x^234

The gray image is a code over GF(3) with n=711, k=8 and d=450.
This code was found by Heurico 1.16 in 0.572 seconds.