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

generates a code of length 62 over Z27 who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+108x^115+46x^117+306x^118+100x^120+306x^121+486x^122+272x^123+3174x^124+972x^125+250x^126+162x^127+22x^129+108x^130+14x^132+60x^133+14x^135+72x^136+4x^138+72x^139+2x^141+6x^142+2x^144+2x^180

The gray image is a code over GF(3) with n=558, k=8 and d=345.
This code was found by Heurico 1.16 in 0.342 seconds.