The generator matrix

 1  0  1  1  1  1 21  1  1 24  1  1  1  0  1  1  1  1  3  1  1 15  1  1  1 18  1  1 21  1  1 18  1  1  9  1  1  1  1  1  1 21  1  1  3 24 24  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1 26 21 20  1 16 24  1 23  4  0  1 17 16  4  2  1 21 24  1  1 14 18  1 22 15  1 14  0  1 23 26  1 11 25 14  4  5 11  1  0 24  1  1  1 22 19  4 20 17 19 23 16 12 21  7  1  6 23 16
 0  0 24  0  0 18 18 18  9  0  0 18  6 15 21  6 24  3 21 15 15  3  3 21  3 12 21 12 24 21  6 21 18 15  0 24  3  9 15 21  0  6  9  9  3 12  0 21 15  0 24  6 18  9 15 24  6 15 15  9 12 18
 0  0  0  9  0  0  0 18  0  0 18  9  0  0 18  9 18  9 18  9 18 18 18 18  9  0  0 18  9  9  0  9 18 18 18 18  0  0  0  0 18  0  9  9  0  9 18  9 18  9  9  9 18  0  0  9 18  9  0 18  9  9
 0  0  0  0 18 18  9  9  9 18  9  0 18  0  9  9 18  9  9  9  0  0 18 18  0 18  0  9 18  0  0 18 18  0  0 18  9  0 18 18  0  9 18  9  0  0  9  9  9 18  9  0  9  9  0  0  9 18 18  0 18  9

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

Homogenous weight enumerator: w(x)=1x^0+450x^114+72x^115+468x^116+1990x^117+1620x^118+2160x^119+3860x^120+3492x^121+4446x^122+6668x^123+6300x^124+6444x^125+6828x^126+5076x^127+3618x^128+3134x^129+936x^130+360x^131+608x^132+332x^135+146x^138+14x^141+20x^144+6x^147

The gray image is a code over GF(3) with n=558, k=10 and d=342.
This code was found by Heurico 1.16 in 10.1 seconds.