The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1 24  1  1  1 21  1  1  1  1  1  1  1  1  1  9 12  6  1  1  1  1  1  1  9  3  1  1  1  6  1  1  1 12  1  1  1  1  1  1  1  1  1  1  1  3  0  9
 0  1  7 26  4 21 20  1 24 19 23  1  0 16 26  1 20 21  4  1 24 19 23  1  9 12 16 13  6 10  8 11  5  1  1  1  9 12  7 13  8 11  1  1  6 10 14  1  7  9 26  1 21 24  0 12  6  4 16 13  8 20 11  1  1  1
 0  0  9  0 18 18  9  9  9  0 18 18  9 18  9  9 18  0  0  0 18  9  0 18 18  9  0  9  0 18 18  0  9 18  0  9  9  0  0 18  9 18  9  0  9  0  9  0 18  0 18  9  9  0 18 18 18  9  9  0  0  0  9 18 18  0

generates a code of length 66 over Z27 who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+330x^129+342x^130+1032x^132+180x^133+6x^135+126x^136+162x^138+2x^144+6x^150

The gray image is a code over GF(3) with n=594, k=7 and d=387.
This code was found by Heurico 1.16 in 0.113 seconds.