The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  0  1  1  1 21  1  1 24  1  1  1  1  1  0 24  1  1  1 21  1  1  1  1  1  1  1 21  1  1  1  1  1 24  9  1  1 12  1  1  1  1  1  1  1  1  0  1  9  1  1  1  1
 0  1  7 26 21  4 20  1 19 24  1 23 26  0 16  4  1 19 21 20  1 23 24  1 16 26 19 23  0  1  1 21 24  4  1  5 26 16  6 20  0 21  1 16  8 23  9 25  1  1 20 11  1 24 23 11  4 19  9 26 17  1 14  1 10 25  1 19
 0  0  9  0  0  0 18  9 18  9  9  9  9 18  0  0  0  9  9 18  0 18  9  0 18 18 18  9  0 18  9  9  0  0  0 18  9 18  0  9 18  9  9  0 18  0  0 18  9 18  9  0  9 18  0  0  9 18  0  9 18  0  9  0 18  0  9  9
 0  0  0  9  0  9  9  9 18 18  0 18  0  9  9  0  9  9  0  9 18  9  0 18  9  0  0  0 18  9 18  9  9 18  9  0  9  9 18  9  0  9  9  0 18  0  9  0 18 18 18  9  0  0 18 18  0  9  9 18  0  9  9  0 18  0 18 18
 0  0  0  0 18 18  0 18 18  9 18 18  9  9  9  9  0  0  0 18  9  9 18  0  0 18  0 18  0  9  9  9  0 18  9  9 18 18  9  9  0  0  0  0  9 18  9 18  0  9  0  9  9  9  9 18 18  0 18 18  0 18  0  9  9 18  9  0

generates a code of length 68 over Z27 who´s minimum homogenous weight is 127.

Homogenous weight enumerator: w(x)=1x^0+126x^127+324x^128+326x^129+816x^130+1350x^131+578x^132+1056x^133+2484x^134+1130x^135+1626x^136+3564x^137+1036x^138+1578x^139+2214x^140+444x^141+486x^142+270x^143+58x^144+84x^145+22x^147+36x^148+30x^150+24x^151+6x^153+2x^156+10x^159+2x^171

The gray image is a code over GF(3) with n=612, k=9 and d=381.
This code was found by Heurico 1.16 in 1.34 seconds.