The generator matrix

 1  0  1  1  1  1  1  3 24  1  1  1  1  3  1  1  1  1  1  0 21  1  1  1  1  1 15  1  1  1  1  1  1 24  1  3  1 12  1  1  1  3  1  1  0  1  1  1  0  1  1  1  1  1  3  1 15  9 21  1 12  0  1  1  1  1 24  1
 0  1  1 26 18 25 26  1  1 26 16 21  4  1 18 20 12  5 16  1  1 24  7 23  2 18  1 13  2  1  6  4  5  1  1  1  0  1 23 14 21  1 13  2  1 10 22  4  1 15  0  4  9 15  1 15  1  1  1  2  1  1  1 13  0 17  1  0
 0  0 24  0 18  0  0  9  0 18 18  9  9 12 21  6 24 12 24 21 15 15  6  3  6 12 21 12  3 21 15  3 24 12  3 15  6 18 18 21 12 24 12  3 21 18  6 12 18 12 18  9 15 21  3  3  3 24 18 18 18 21  6 15 21 15  0  0
 0  0  0  3 21 12  9  3 15  6 24  6 18 15 24 24  3 24  6  3  9 18  3 12 18  3  9 12  9 15  6 18 12 12 21  3 12  9  0 21  3 15 18 15 18 12 15 15 21  9  3  9 18 18 12 15  0 21 12 21 24  0 21 21  9 24  0 24

generates a code of length 68 over Z27 who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+462x^126+144x^127+486x^128+1992x^129+1908x^130+2484x^131+3798x^132+3762x^133+4158x^134+6198x^135+6462x^136+6210x^137+5922x^138+5382x^139+3564x^140+2874x^141+1260x^142+594x^143+714x^144+36x^145+372x^147+186x^150+48x^153+30x^156+2x^162

The gray image is a code over GF(3) with n=612, k=10 and d=378.
This code was found by Heurico 1.16 in 10 seconds.