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

generates a code of length 66 over Z27 who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+270x^125+208x^126+54x^127+534x^128+728x^129+162x^130+1170x^131+918x^132+162x^133+1086x^134+648x^135+108x^136+138x^137+62x^138+66x^140+54x^141+66x^143+34x^144+48x^146+18x^147+24x^149+2x^174

The gray image is a code over GF(3) with n=594, k=8 and d=375.
This code was found by Heurico 1.16 in 0.358 seconds.