The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  1  1  1  3  3  1  3  1  1  1  1  1  3  3  1
 0  9  0  0  0  0  0  0  0  0  9 18 18  9  9  9  0 18  9 18  9  0 18  0  9  9  0 18  9 18 18 18  9  9  0 18  0 18 18  9  9  9  9  9  9  0  0  0  9  9 18  9  0  9  9  0  0 18 18  0  0 18  0 18  0
 0  0  9  0  0  0  0  9 18 18 18  0  0 18  9 18  9  0  9  9  0 18  9  0 18  9 18  0  9  0 18 18 18  9  0  9  0 18  9  0  0  9  9  9 18  9 18  9  9 18  0  9  9  9  0  9  0  9  9 18 18  0  9  0  0
 0  0  0  9  0  0  9 18  0 18  0  0 18  9  9 18  0  9  0 18  0 18 18  0 18  0  9 18 18  9  9  9 18  0 18 18  9 18  0 18  0 18 18  9  9  9 18  9  9  0  9  0 18  0  9  0  0  0  0  9  9 18 18 18  9
 0  0  0  0  9  0 18 18  9  0 18 18 18  0 18 18  0 18  9  0 18 18 18  9  0  0 18  9  0  9  0  9  0 18 18  0  9  0 18 18 18  9 18 18  9 18 18 18  9  9 18  0  0  9  9 18  9  9  9  9  9  9  9 18 18
 0  0  0  0  0  9 18 18 18 18 18 18  9 18  9  9 18  9 18 18 18 18  0 18  0  9  0  0 18  9 18  0 18  9  9  0  0  9 18  0  9 18  0  9  9  0  9 18  9  9  0  0  0  0  9  9  0  0  9  9 18  9  0  0  9

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

Homogenous weight enumerator: w(x)=1x^0+36x^117+110x^120+24x^121+136x^123+132x^124+98x^126+312x^127+62x^129+4836x^130+50x^132+408x^133+50x^135+120x^136+52x^138+38x^141+32x^144+20x^147+16x^150+6x^153+8x^156+8x^159+2x^162+2x^168+2x^177

The gray image is a code over GF(3) with n=585, k=8 and d=351.
This code was found by Heurico 1.16 in 0.461 seconds.