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

generates a code of length 61 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+46x^117+48x^118+186x^120+60x^121+1620x^122+66x^123+18x^124+70x^126+24x^127+28x^129+12x^130+6x^132+2x^183

The gray image is a code over GF(3) with n=549, k=7 and d=351.
This code was found by Heurico 1.16 in 0.12 seconds.