The generator matrix

 1  0  1  1  1  1  1  1 18  1  1 21  1  1  1  1  1  1  3 21  1  1  1  1 24  1  1  1  1  1 15  0  1 15  1  1  1 18  1 18  1  1  1  3  1  1  1  1  1  1  1  1  0  1  1  1  1  6  6  0  6  6  1  1 12  1  1  1
 0  1  1 26 18 17  0 25  1 20  4  1 23 21 24  5 15  1  1  1 11 11 24 13  1 22 26 23 12 22  1  1 16  1 21  9 19  1 19  1 16  9  8  1 26 15 14 20 13 12 24 19  1  0 11 13 15  1  1  1  1  1 21  9  1 22 16  9
 0  0 24  9 21 12  6  3  3 18  0  6 18  0 15 24 12 21 12  0  3 15  9 18  6  3 24 12 12 24  3 15  6  9  6  3  0 12 12  9 18 15  3 15  0 18 15  6  6  9 24  9 24 18 12  9  6 15 24 18 18  0 24  9 21 12 15 21

generates a code of length 68 over Z27 who´s minimum homogenous weight is 131.

Homogenous weight enumerator: w(x)=1x^0+366x^131+918x^132+504x^133+822x^134+774x^135+372x^136+708x^137+484x^138+336x^139+360x^140+600x^141+84x^142+162x^143+36x^144+12x^147+6x^149+6x^153+6x^155+2x^156+2x^162

The gray image is a code over GF(3) with n=612, k=8 and d=393.
This code was found by Heurico 1.16 in 0.266 seconds.