The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1 24  1  1 21  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  9
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 16 20 24  1 19 23  1  9 16  8  1 12 13 11  1  6 10  5  1  9 12  7 13  6 10  8 11  5 21 16  9 12  0  7  4 13  1
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18  0 18  9  9  9  0  9  0 18 18  9  0 18 18  9  0 18 18 18  0  0 18 18 18  0  0  9  9  9  0 18  9 18  0  9  0

generates a code of length 54 over Z27 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+272x^105+606x^106+576x^108+300x^109+120x^111+228x^112+80x^114+2x^126+2x^132

The gray image is a code over GF(3) with n=486, k=7 and d=315.
This code was found by Heurico 1.16 in 0.709 seconds.