The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  0  1  1 21  1  1  1 24  1  1  1  1  1  1  1  1  1  9 12  6  1  1  1  1  1  1  1  1  1  9 12  6  1  1  1 12  1  1  1  1  1  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  0 16 26 24  1  4 23  1 21 19 20  1  9 12 16 13  6 10  8 11  5  1  1  1  9 12  7 13  8 11  6  1  5  1  1  1 11  9 13  1 21 24  0 12 18  3  0
 0  0  9  0 18 18  9  9  9  0 18 18  9 18  9 18 18  0  0  0  0  9 18  9 18  9  0  9  0 18 18  0  9  9 18  0  9  0  0 18  9 18  9 18 18  0  9  9  9  0  0  0  9  0 18 18  0  9  0

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

Homogenous weight enumerator: w(x)=1x^0+114x^114+684x^116+474x^117+360x^119+192x^120+252x^122+102x^123+2x^135+6x^138

The gray image is a code over GF(3) with n=531, k=7 and d=342.
This code was found by Heurico 1.16 in 0.0731 seconds.