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

generates a code of length 91 over Z27 who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+244x^171+54x^174+180x^177+618x^180+4374x^182+540x^183+252x^186+172x^189+78x^198+30x^207+16x^216+2x^252

The gray image is a code over GF(3) with n=819, k=8 and d=513.
This code was found by Heurico 1.16 in 59.6 seconds.