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

generates a code of length 77 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+70x^150+72x^153+1944x^154+54x^156+36x^159+8x^162+2x^231

The gray image is a code over GF(3) with n=693, k=7 and d=450.
This code was found by Heurico 1.16 in 0.221 seconds.