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  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  3  3  1  1  1  1  3  3  1
 0  9  0  0  0  0  0  0  0  0  0  0  0  0  9 18 18  9 18 18 18  9  9 18  9 18  0 18  9 18  9  0  9 18 18  0  0 18  0 18  9 18 18  0 18 18  9  9  0 18  0  9  9 18  0  9 18  9  9  0  9  9  0  9  9  0  9
 0  0  9  0  0  0  0  0  0  0  0  9 18 18 18 18  0  9  0  9  9 18  9 18  0  9 18  0 18  0  9  9  0 18 18  9 18  9 18  9  9 18  0  9 18  0  9  9 18  0 18  0  0  0  9 18 18 18 18  0  9  0  9  0 18  9  9
 0  0  0  9  0  0  0  0  9 18 18 18  0  0  9  0  9 18  9 18 18 18 18  0  0  0 18 18  0  9  9  9  9 18  9 18  9  9 18  9  0  9  0  0 18 18 18 18 18  0  0  0  0 18  9  0 18 18  9  9 18  0 18 18 18  0  0
 0  0  0  0  9  0  0  9 18  0 18  0  0 18 18  9  9  9 18  9  0 18  9 18  9  0  9 18  0  9  0  0  0 18  9 18  9  9  9 18  9  9  0 18  9  9  9 18 18  0 18 18  9  9  9  9  9  0 18 18  0  9 18  9  0 18  0
 0  0  0  0  0  9  0 18 18  9  0 18 18 18 18 18 18  0  9  0  0 18 18  0 18  9 18  0  0  9 18  9 18  9 18 18 18 18 18  0  9  9  0 18  9  0  0  0  9  9  0  0  9  0  0 18 18  0  0 18  0  9 18  0  0  9  0
 0  0  0  0  0  0  9 18 18 18 18 18 18  9  9  9  0 18  0  0  9  0 18 18 18  0  9  9  0  9  0  0 18  9  0  9  0 18  0 18  0  0  9  0  9  9  0  9 18  0 18  0 18 18  9 18 18  0  0  0 18  9 18  9  9  9 18

generates a code of length 67 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+104x^117+202x^120+204x^123+18x^124+250x^126+180x^127+196x^129+720x^130+190x^132+1440x^133+13122x^134+170x^135+1440x^136+160x^138+576x^139+190x^141+158x^144+94x^147+94x^150+84x^153+42x^156+22x^159+16x^162+6x^165+2x^174+2x^186

The gray image is a code over GF(3) with n=603, k=9 and d=351.
This code was found by Heurico 1.16 in 3.54 seconds.