The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  0  1  1 21  1  1  1  1  1 24  1  1  1  9  1  1  1  1  1  1 24 12  1  6  1  1 24  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  3  1  1 21
 0  1  7 26 21  4 20  1 24 19 23  1 21  4  1 26  0  1 24 16 20 19 23  1  9 16  5  1 12 24 19  6 10 26  1  1 13  1 11  8  1  1 24  6 19  4 26 20  0  9 21 15 21 15 12 16  5  1 15 10  9  1
 0  0  9  0 18 18  9  0  0  9 18 18  9  0 18  9 18  9  9  0 18 18  0  9  9 18  9  9  0  0  9  9  0  0  0 18  9  9  0 18  0 18 18 18 18  0  9 18  0 18 18  0  9  9  9 18  0  0  9  9  0 18
 0  0  0  9  0 18 18  9  9  9  9  0 18  0 18  0 18 18  9 18  0  9 18  9  9  9  0  9  9  0  0 18  0 18  0  0  9 18  9  0  9 18  0 18 18 18 18  9  9  9 18 18  9 18  0  0  0 18 18 18 18  9

generates a code of length 62 over Z27 who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+312x^118+216x^119+538x^120+786x^121+648x^122+398x^123+750x^124+648x^125+486x^126+750x^127+432x^128+218x^129+306x^130+46x^132+6x^133+6x^135+6x^139+4x^141+2x^144+2x^159

The gray image is a code over GF(3) with n=558, k=8 and d=354.
This code was found by Heurico 1.16 in 0.712 seconds.