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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+362x^114+254x^117+90x^120+14x^123+4x^126+2x^132+2x^144

The gray image is a code over GF(3) with n=522, k=6 and d=342.
This code was found by Heurico 1.16 in 1.1 seconds.