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

generates a code of length 62 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+28x^117+216x^119+228x^120+714x^123+696x^126+270x^128+12x^129+2x^138+4x^141+4x^144+6x^147+2x^150+4x^156

The gray image is a code over GF(3) with n=558, k=7 and d=351.
This code was found by Heurico 1.16 in 0.114 seconds.