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

generates a code of length 59 over Z27 who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+20x^99+138x^102+184x^105+240x^108+72x^109+220x^111+396x^112+188x^114+936x^115+178x^117+14508x^118+214x^120+1224x^121+152x^123+360x^124+174x^126+170x^129+110x^132+94x^135+58x^138+12x^141+22x^144+10x^147+2x^159

The gray image is a code over GF(3) with n=531, k=9 and d=297.
This code was found by Heurico 1.16 in 2.92 seconds.