The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  3  3  1  1  1  1  1  1  0  1  3  1  3  1  3  1  1  1  1
 0  3  0  0 24 21 15  3 24 21 18  0 21 15  9 24 24 12  9  3  6  6  9 24 18 21  0 24  6 18  9 21  6  6  3  3  6 21 24  0 12 21 24  9 21  0  3 15  9 18  3  0  0 24  3  0 18 24 24 18 24  6 15  9 21  9  0
 0  0  3 24  0 15 21  3  6  6 21  0  3 21 15 18 24  9  3 24  3  6  0  6 21  3  6  9 12 15 18  6  3 12  9  0 24  9  9 21 12 15  9  9 12  6  6  9 15 21 12 24 24 12 12  0  3 18  9  6  6  6 21  9  0 21  0
 0  0  0  9  0  0 18  0  0  9 18  9 18  9 18  9 18  9  9 18  0  0 18 18 18  9  0  9 18  9  0  9 18  9  0  9 18 18  0  9  0 18  9 18 18  0 18  9  0 18 18  9  0  9  0  9  9 18 18 18 18  0 18 18  9  0  0
 0  0  0  0  9 18  0  9 18  0 18  9  0  0  0  9 18  0 18 18  0  9  0  0  0  0  9  0 18  9 18  9  9  9  9  9  9  0  0  9 18  9  9  9  9  0  0 18  9 18 18 18 18 18  0  0  9  9  9 18  9  0  0  0 18  9 18

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

Homogenous weight enumerator: w(x)=1x^0+202x^123+956x^126+90x^127+108x^128+1092x^129+828x^130+648x^131+2076x^132+3132x^133+1296x^134+2880x^135+3042x^136+864x^137+936x^138+198x^139+594x^141+430x^144+204x^147+62x^150+42x^153+2x^180

The gray image is a code over GF(3) with n=603, k=9 and d=369.
This code was found by Heurico 1.16 in 2.28 seconds.