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

generates a code of length 61 over Z27 who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+144x^115+288x^116+76x^117+492x^118+396x^119+378x^120+1284x^121+780x^122+692x^123+1272x^124+252x^125+22x^126+84x^127+72x^128+30x^129+60x^130+66x^131+8x^132+42x^133+72x^134+18x^136+18x^137+6x^138+6x^139+2x^168

The gray image is a code over GF(3) with n=549, k=8 and d=345.
This code was found by Heurico 1.16 in 0.695 seconds.