The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1 24  1  1  1  0  1  1 24  1  1  1 24 21  1 24  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  9  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 24 19  1 16 23  1  0  4  0  1  1 21  1  4 24 16 19 26 24 21 19 20  0  9 20  1 16 21  1 18  4 18 13 24 12 11 21 16 20 26 23  1 26 16
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  9  0 18  0  9  0  0  0  0  9 18  9  0  0  9 18  9  0  9 18 18  0 18 18 18 18 18  0  9  9 18 18  9 18 18  0  0  9  0 18 18  0  9  0 18
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0 18  0 18  0  0 18  0 18 18 18  9 18  9 18  9  0  9  9  9 18 18 18 18  0  9  9 18  9 18 18  0 18  0  9 18  9 18  9 18 18  9  0  9  9  0  9
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9  9  9 18 18  0 18  9  9  0  9 18 18 18  0 18  0  9  0  9  0  9  9  9  9 18 18  9  0 18 18 18  0  0  0  9 18  9 18  0 18  0  9  0  9 18  0 18
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  9 18  0  0  9  9  0  9  9  9 18  0 18  0  9  9 18  9 18  0 18 18  9  9  0 18 18 18  0  9 18  0  9  0  0  0  0 18  9  9  9 18  9  9  0 18  9

generates a code of length 66 over Z27 who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+36x^119+116x^120+72x^121+456x^122+430x^123+432x^124+1452x^125+1612x^126+1998x^127+3426x^128+4144x^129+4716x^130+6210x^131+6574x^132+6372x^133+6450x^134+5170x^135+3348x^136+3096x^137+1348x^138+558x^139+516x^140+150x^141+198x^143+32x^144+30x^146+38x^147+20x^150+10x^153+18x^156+8x^159+6x^162+6x^165

The gray image is a code over GF(3) with n=594, k=10 and d=357.
This code was found by Heurico 1.16 in 10.6 seconds.