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
 0  9  0  0  0  0  9 18 18  0  0  9  9  9  9  9  9  9  0 18  0 18  0 18  0  9 18  9 18 18  0  0 18  9  0  9  9  9  9  0  0  0  9  0  9  0  0  9  9 18 18  0  9 18 18 18  9 18 18 18  0 18  0 18 18  9  0  9  0  9 18 18  0  0
 0  0  9  0  0  9 18  0 18  0  9  9 18 18  0  9  0  9  9  9  9  0  0 18 18  9  9 18  0 18  0  9  9  0 18 18  0  9  0 18 18 18  9 18 18  0  0 18  9  0  9  9  9  0 18  0 18 18 18  0  0  9 18  0  9  0  9  9 18  0  9  9  0  0
 0  0  0  9  0 18 18  9  0  9  9  0  0  9 18  9  9 18 18  0  0 18 18 18 18 18  9  9  0  9 18  9 18 18  9 18  9  0  0  0  9  0  9 18  0  0  9  9  0 18  0  9  9  0 18 18 18  0  9  0 18  9  9  9 18  9  0 18  0  0  9  0  0  0
 0  0  0  0  9 18 18 18 18 18  0 18  0  0 18 18  0  9  0  0 18 18  9 18  9 18  0 18  0  0 18 18  9  0  0  0 18  0  9  9 18 18  9  0  9 18  9  9  9  0 18  9  0  9  0  9  9  9  9 18  0  9  9  9 18  9  9  0  0 18 18  9 18 18

generates a code of length 74 over Z27 who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+46x^141+24x^144+66x^147+1944x^148+60x^150+42x^156+2x^162+2x^222

The gray image is a code over GF(3) with n=666, k=7 and d=423.
This code was found by Heurico 1.16 in 0.195 seconds.