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

generates a code of length 61 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+132x^117+162x^120+1458x^122+324x^123+82x^126+26x^135+2x^180

The gray image is a code over GF(3) with n=549, k=7 and d=351.
This code was found by Heurico 1.16 in 1.72 seconds.