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

generates a code of length 74 over Z27 who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+216x^145+42x^147+282x^148+18x^150+90x^151+14x^153+54x^154+6x^157+4x^159+2x^168

The gray image is a code over GF(3) with n=666, k=6 and d=435.
This code was found by Heurico 1.16 in 0.196 seconds.