The generator matrix

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

generates a code of length 68 over Z27 who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+858x^128+1458x^129+2106x^130+3504x^131+3942x^132+4770x^133+4962x^134+5520x^135+5490x^136+5322x^137+4978x^138+4428x^139+4146x^140+2962x^141+1926x^142+1362x^143+776x^144+234x^145+174x^146+20x^147+72x^149+8x^150+12x^152+12x^153+6x^156

The gray image is a code over GF(3) with n=612, k=10 and d=384.
This code was found by Heurico 1.16 in 9 seconds.