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

generates a code of length 63 over Z27 who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+214x^114+72x^115+404x^117+138x^118+54x^119+670x^120+204x^121+270x^122+1436x^123+3174x^124+486x^125+2482x^126+6096x^127+432x^128+1836x^129+276x^130+216x^131+426x^132+150x^133+306x^135+84x^136+114x^138+6x^139+64x^141+6x^142+14x^144+24x^147+18x^150+6x^153+2x^159+2x^174

The gray image is a code over GF(3) with n=567, k=9 and d=342.
This code was found by Heurico 1.16 in 11 seconds.