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

generates a code of length 87 over Z27 who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+10x^171+156x^173+516x^174+18x^177+16x^180+6x^183+6x^200

The gray image is a code over GF(3) with n=783, k=6 and d=513.
This code was found by Heurico 1.16 in 0.277 seconds.