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

generates a code of length 61 over Z27 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+88x^105+188x^108+12x^109+224x^111+78x^112+234x^114+288x^115+184x^117+750x^118+212x^120+1212x^121+13122x^122+202x^123+1170x^124+160x^126+696x^127+160x^129+168x^130+164x^132+138x^135+86x^138+62x^141+56x^144+20x^147+4x^150+2x^153+2x^159

The gray image is a code over GF(3) with n=549, k=9 and d=315.
This code was found by Heurico 1.16 in 3.12 seconds.