The generator matrix

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

generates a code of length 66 over Z27 who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+348x^122+504x^123+576x^124+1734x^125+1978x^126+2088x^127+4296x^128+4254x^129+4014x^130+5982x^131+5880x^132+5382x^133+6948x^134+5016x^135+3420x^136+3066x^137+1674x^138+522x^139+534x^140+192x^141+36x^142+234x^143+106x^144+162x^146+66x^147+12x^149+12x^150+12x^152

The gray image is a code over GF(3) with n=594, k=10 and d=366.
This code was found by Heurico 1.16 in 9.71 seconds.