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

generates a code of length 61 over Z27 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+106x^111+6x^112+150x^114+60x^115+46x^117+240x^118+118x^120+480x^121+4374x^122+94x^123+480x^124+16x^126+192x^127+46x^129+52x^132+12x^135+36x^138+26x^141+6x^144+12x^147+6x^156+2x^168

The gray image is a code over GF(3) with n=549, k=8 and d=333.
This code was found by Heurico 1.16 in 24.7 seconds.