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

generates a code of length 74 over Z27 who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+48x^135+124x^138+118x^141+506x^144+394x^147+4374x^148+550x^150+280x^153+24x^156+38x^159+24x^162+24x^165+28x^168+8x^171+6x^174+4x^177+4x^180+4x^183+2x^207

The gray image is a code over GF(3) with n=666, k=8 and d=405.
This code was found by Heurico 1.16 in 0.581 seconds.