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

generates a code of length 62 over Z27 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+44x^111+110x^114+172x^117+360x^120+570x^123+4374x^124+496x^126+260x^129+38x^132+26x^135+30x^138+30x^141+26x^144+8x^147+8x^150+4x^153+2x^162+2x^171

The gray image is a code over GF(3) with n=558, k=8 and d=333.
This code was found by Heurico 1.16 in 0.427 seconds.