The generator matrix

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

generates a code of length 65 over Z27 who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+798x^122+1424x^123+1692x^124+4026x^125+4098x^126+3510x^127+6450x^128+4904x^129+4104x^130+6876x^131+5744x^132+3816x^133+4956x^134+2812x^135+1296x^136+1488x^137+650x^138+162x^139+102x^140+32x^141+66x^143+8x^144+18x^146+8x^147+6x^152+2x^153

The gray image is a code over GF(3) with n=585, k=10 and d=366.
This code was found by Heurico 1.16 in 81 seconds.