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

generates a code of length 60 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+48x^102+148x^105+206x^108+18x^110+218x^111+180x^113+228x^114+720x^116+220x^117+1440x^119+13328x^120+1440x^122+186x^123+576x^125+166x^126+140x^129+152x^132+112x^135+76x^138+36x^141+18x^144+12x^147+6x^150+6x^153+2x^165

The gray image is a code over GF(3) with n=540, k=9 and d=306.
This code was found by Heurico 1.16 in 3.02 seconds.