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  1  1  1  1  1  1  3  1  1  1  1  0 18  1  3  0  1  3  3  0 18
 0  3  0  0  0 24 21 15  3  6 15 21 18  6  3 12 24 24 18 24 18 21 21 18  6  9 12 12  0 21 18  6 24  9  6 15 21 15 12 21 24  9 18  6  3  6  0 12 24  9 12 18  0 24  0  3  9  0  3  3 21  9  0  3
 0  0  3  0  9 18  9 18  0  0 21 15 15  6 21 15 12 24  3  6 21 21  6  6 21  6 12 15 24 12  6 15 12  9  9  3 15 21  0 18  9 18 15  9 12  6 21  9  6  3 21  3  9 12 18 12 18 21  9  3  0  3  3  6
 0  0  0  3 15  0  6  3 12 15 18 24 24  6  0  9  3 21 15 18 12  3 21 21 15 18  6 12 18  3 12  6 24 18  9 12  9  9  6  9 15 15  6  3  6  9 24 21 12  9 18 18  3 21  3 18  3 15  9  9 15 24 15 12

generates a code of length 64 over Z27 who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+150x^118+324x^119+258x^120+432x^121+588x^122+510x^123+1242x^124+1302x^125+1174x^126+2832x^127+2442x^128+1800x^129+2652x^130+1512x^131+542x^132+552x^133+270x^134+178x^135+174x^136+174x^137+76x^138+120x^139+96x^140+58x^141+96x^142+84x^143+18x^144+12x^145+12x^146+2x^165

The gray image is a code over GF(3) with n=576, k=9 and d=354.
This code was found by Heurico 1.16 in 1.99 seconds.