The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1 24  1  1  1 24  1  1  1  0  1 21  1  1 24  1  1  1  1  1 21  1  1  0  1  1  1 21  1  1 24  6  1  1  1  6 12  1  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 24 19  1  4  0 26  1 16  1  0 19  1 21 21 16 20  4  1 24 21  1  9  4 23  1 12 16  1  1  7 26 21  1  1 20 24 26 12 13 12 19 24 20
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  9  0  9  0 18  0  0  0  0 18  9 18  0  0  9 18  0  0  9 18 18 18  9  9 18  9  0  9  9  0  9  0  0 18 18  9 18  9  0  0 18 18  0  9
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0 18  0 18 18  0  0 18  0 18 18 18  9  0  9 18 18 18  9 18  0  9 18  0  9  9  9 18  0  9  0 18  0 18 18  0  0 18  9  9  9 18  9 18  9  9
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9  9  9 18 18  9 18  0  9  9  0 18 18 18  0  0 18  9 18  0  0  0  9  9  0  9  9  9  0 18  9  0  9  9  0  9 18  9  9 18  0  9  9  0 18 18  9
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  9 18  0  0  0  9  9  9  9  9 18 18  0  0  9  9  9  0  9  9  0  0  9  9  0 18  9  0 18  0 18  0 18  0 18  9 18 18  0 18 18  9  9 18  0  0

generates a code of length 65 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+50x^117+18x^118+240x^119+284x^120+450x^121+750x^122+1102x^123+1728x^124+1962x^125+3044x^126+4554x^127+4398x^128+6192x^129+7524x^130+5838x^131+6016x^132+5886x^133+3216x^134+2606x^135+1584x^136+864x^137+184x^138+126x^139+162x^140+96x^141+60x^143+34x^144+6x^146+16x^147+20x^150+16x^153+18x^156+2x^159+2x^165

The gray image is a code over GF(3) with n=585, k=10 and d=351.
This code was found by Heurico 1.16 in 10.4 seconds.