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

generates a code of length 66 over Z27 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+230x^120+640x^123+1272x^126+4020x^129+6898x^132+5094x^135+814x^138+428x^141+170x^144+52x^147+16x^150+16x^153+12x^156+10x^159+6x^162+2x^165+2x^171

The gray image is a code over GF(3) with n=594, k=9 and d=360.
This code was found by Heurico 1.16 in 23.8 seconds.