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

generates a code of length 62 over Z27 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+66x^120+222x^121+216x^122+178x^123+780x^124+432x^125+120x^126+72x^127+30x^129+30x^130+8x^132+30x^133+2x^180

The gray image is a code over GF(3) with n=558, k=7 and d=360.
This code was found by Heurico 1.16 in 0.098 seconds.