The generator matrix

 1  0  1  1  1  1  1  1 18  1 21  1  1  0  1 15  1  1  1  1 24  1  1  1  1 24  3  3  1  1  1  1  1  1  1  1  1  1 21  1  1  9  0  1  1  1  1  1  1  1  1 21  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1 26 18 17  0 25  1 20  1  4 26  1 23  1 16 23 18 19  1 19  4  5  3  1  1  1 16 21 11 15 13 11 15  1 24 23  1  1 17  1  1 13  2  6 21 12 21 17  7  1 15 11  5  5 23 20 21 12 11 20 20  5 13
 0  0 24  9 21 12  6  3  3 18  0  0 15 15 18 21 15  6 24  0 15  3 15 21 21  9  3 24 18  9 15  3 12 12  9  6 15 24  9 12 21 21 24 18  9  6  0  3 24  6  0 12  0 24 18  9 12  6 15 21  9  0  3  6  9

generates a code of length 65 over Z27 who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+264x^125+906x^126+720x^127+630x^128+814x^129+468x^130+492x^131+732x^132+468x^133+300x^134+462x^135+126x^136+60x^137+70x^138+12x^140+12x^143+12x^146+8x^147+2x^153+2x^156

The gray image is a code over GF(3) with n=585, k=8 and d=375.
This code was found by Heurico 1.16 in 0.228 seconds.