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

generates a code of length 62 over Z27 who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+424x^114+18x^116+1120x^117+54x^118+144x^119+2162x^120+324x^121+918x^122+4006x^123+2106x^124+1548x^125+3814x^126+432x^127+288x^128+1200x^129+616x^132+346x^135+108x^138+48x^141+4x^147+2x^162

The gray image is a code over GF(3) with n=558, k=9 and d=342.
This code was found by Heurico 1.16 in 2.08 seconds.