The generator matrix

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

generates a code of length 54 over Z27 who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+432x^98+722x^99+2112x^100+3540x^101+4926x^102+7062x^103+10644x^104+10814x^105+15168x^106+20544x^107+18182x^108+21300x^109+20538x^110+13882x^111+11724x^112+8322x^113+3758x^114+1716x^115+954x^116+350x^117+144x^118+78x^119+68x^120+60x^121+60x^122+20x^123+12x^125+8x^126+6x^127

The gray image is a code over GF(3) with n=486, k=11 and d=294.
This code was found by Heurico 1.16 in 51.9 seconds.