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

generates a code of length 60 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+50x^108+160x^111+54x^113+86x^114+270x^116+98x^117+486x^119+4464x^120+432x^122+28x^123+216x^125+52x^126+38x^129+28x^132+34x^135+28x^138+20x^141+8x^144+4x^147+2x^156+2x^165

The gray image is a code over GF(3) with n=540, k=8 and d=324.
This code was found by Heurico 1.16 in 0.405 seconds.