The generator matrix

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

generates a code of length 67 over Z27 who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+152x^123+180x^124+414x^125+1086x^126+1398x^127+1632x^128+3374x^129+3216x^130+3384x^131+5180x^132+6282x^133+4704x^134+6682x^135+6030x^136+4350x^137+4538x^138+2850x^139+1302x^140+1192x^141+294x^142+144x^143+256x^144+90x^145+48x^146+98x^147+54x^148+48x^149+26x^150+12x^151+12x^152+10x^153+6x^154+2x^159+2x^162

The gray image is a code over GF(3) with n=603, k=10 and d=369.
This code was found by Heurico 1.16 in 10.6 seconds.