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  3  1  1  3  1  1  1  1  1  3  1  1  3  3  1  3  9  1  1
 0  9  0  0  0  0  0  0  0  0  9 18 18  9  9  9  0 18  9 18  9  0  9  0 18  9  0 18  9 18 18 18  9  9  0  9 18  0 18  0  0  9 18  9  0  9 18  0  9  0  9  9 18  0  0 18  9  0  9  9  9  9 18
 0  0  9  0  0  0  0  9 18 18 18  0  0 18  9 18  9  0  9  9  0 18 18  0  9  9 18  0  9  0 18 18 18  9  0 18 18  9 18  9 18 18 18 18  9 18 18  0  9  0  0 18  9  9  9  9  0  9  0  9  9  0  9
 0  0  0  9  0  0  9 18  0 18  0  0 18  9  9 18  0  9  0 18  0 18 18  0 18  0  9 18 18  9  9  9 18  0 18  0 18  0  9 18  9 18 18  9 18  0 18  0  9 18 18  9  9  9  9  0  9  9  9  0  9  9  0
 0  0  0  0  9  0 18 18  9  0 18 18 18  0 18 18  0 18  9  0 18 18  0  9 18  0 18  9  0  9  0  9  0 18 18  0  0 18 18  9  0  9 18  9 18  9  9  0  0  9 18 18 18  9  0  9 18 18 18 18 18  9 18
 0  0  0  0  0  9 18 18 18 18 18 18  9 18  9  9 18  9 18 18 18 18  0 18  0  9  0  0 18  9 18  0 18  9  9  0  9  0  0  9  0  9 18  9  9  0  9  9 18 18  0  9 18  0 18  9 18  9 18  9  9 18  0

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

Homogenous weight enumerator: w(x)=1x^0+66x^114+6x^115+128x^117+60x^118+120x^120+204x^121+84x^123+1812x^124+64x^126+3342x^127+52x^129+336x^130+48x^132+72x^133+40x^135+44x^138+24x^141+24x^144+10x^147+8x^150+4x^153+6x^156+2x^159+2x^165+2x^168

The gray image is a code over GF(3) with n=567, k=8 and d=342.
This code was found by Heurico 1.16 in 0.44 seconds.