The generator matrix

 1  0  0  1  1  1  1  1  1 18  1  1  0  1 18 15  1  1  1  1  1 21  1  6  1  1 24  1  1  1  1 15  1  1  1  1  3  1  1  1  1  1  0  1  1  1 12  3  1 21  1  1  9  1  1  1  0 12  1  1  1  1  1  1  1  3
 0  1  0  0  9 16 23 16 23  1 14 25  1 25  1  1 17 24  8 22  6  1  9 12 17 10  1  2  4 16  6  1  3  8  6 20  1 11 10 22 26 20  6 21 12 15  1  1  7  9 11 25  1 11  5 19  9  1  0 19 21  0  6  9 21  1
 0  0  1  7 17  8  9 15 23 19 16  1  8 25 23 19 11 13  7  2 23 15 15  1  0  6 18 21  3 20 16 11 18 22 26 26 10 11 17  7  1 23  1 19 26 19 13 16  5  1 24  9 24 24 16  4  1  4 20 12 21 12  4 14 23  9
 0  0  0  9 18 18  0  0 18  9  9  9 18  0  0  0  0  0  0  0  0 18  9 18 18  9  9  9 18  9 18  9 18 18  9  0 18  9  0 18 18 18  9  0 18 18  9 18 18  9 18 18 18  0  0 18 18  0  0  9  0  9  9  0  9  9

generates a code of length 66 over Z27 who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+588x^124+1650x^125+1794x^126+3180x^127+5466x^128+4124x^129+4044x^130+6606x^131+4912x^132+4794x^133+6276x^134+4280x^135+3714x^136+3762x^137+1504x^138+996x^139+936x^140+140x^141+126x^142+48x^143+12x^144+36x^145+24x^146+18x^149+18x^151

The gray image is a code over GF(3) with n=594, k=10 and d=372.
This code was found by Heurico 1.16 in 34.2 seconds.