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

generates a code of length 42 over Z27 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+114x^69+192x^72+310x^75+608x^78+1124x^81+14896x^84+1336x^87+580x^90+220x^93+142x^96+70x^99+72x^102+14x^105+4x^108

The gray image is a code over GF(3) with n=378, k=9 and d=207.
This code was found by Heurico 1.16 in 1.97 seconds.