The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1  1 24  1 21  1 12  3  1  1  1  1  1  1 24  1  3  3  1  1  1  1  1 21  6  1  1  1  1  1  1  1  1  1  6  1 15  1
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  3  7  8  1 16  1  2 18  1 22 11 15  3  6  4  1 21 15  1 24 19 20  8 21  1  1 14 24  1 16 10 18 25 19 23 15 17  1 12
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7 23  9  4 13 14 12  3  1 20 19 26 20  1 21 24 16 18  1 23 16 22 19  1  4 25 23  2 23 17  7  3 10  4 24 15  1  2 12  6

generates a code of length 54 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+606x^102+906x^103+1554x^104+2744x^105+1608x^106+1554x^107+2654x^108+1266x^109+1482x^110+2338x^111+774x^112+852x^113+784x^114+450x^115+60x^116+18x^117+6x^118+6x^119+8x^120+6x^121+6x^124

The gray image is a code over GF(3) with n=486, k=9 and d=306.
This code was found by Heurico 1.16 in 0.694 seconds.