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 18  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  3  0  9 24 21  3 15 24  9  9 15 18 12 15 21 24 21 18 12  9 24 12  6 15 21  0 12  0  3 12  9 15  0 24  6 18 21  3  0  3  6  3  6  6  3 21  9  6  9  0 15  9 12 24 24  0 18  3  6  9  3 15 21 18 21  0
 0  0  3 15  9  6  3 21 15  0  6 18 21 24 12 12 24  0 24  3  9 21 18  6  0 24 18  9 12  6 12 21  6 24  0 12 18 18 21  6 15  9 12  3 24  9 21 12 18  3  9  3 24  6  6 12 15 12 24 15 18 18  9  3  9 15  6

generates a code of length 67 over Z27 who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+90x^130+66x^131+282x^132+132x^133+1026x^134+402x^135+36x^136+18x^137+42x^138+36x^139+24x^140+30x^142+2x^198

The gray image is a code over GF(3) with n=603, k=7 and d=390.
This code was found by Heurico 1.16 in 4.65 seconds.