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

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

Homogenous weight enumerator: w(x)=1x^0+82x^120+138x^123+236x^126+396x^129+4922x^132+464x^135+168x^138+30x^141+42x^144+18x^147+18x^150+14x^153+16x^156+4x^159+6x^162+4x^165+2x^180

The gray image is a code over GF(3) with n=594, k=8 and d=360.
This code was found by Heurico 1.16 in 0.484 seconds.