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

generates a code of length 59 over Z27 who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+20x^114+54x^116+20x^117+486x^118+108x^119+28x^120+10x^123+2x^174

The gray image is a code over GF(3) with n=531, k=6 and d=342.
This code was found by Heurico 1.16 in 0.0647 seconds.