The generator matrix

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

generates a code of length 55 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+418x^102+840x^103+2214x^104+2784x^105+3750x^106+5160x^107+5088x^108+5382x^109+7356x^110+5920x^111+5118x^112+5754x^113+3454x^114+2400x^115+1824x^116+942x^117+468x^118+18x^119+58x^120+18x^121+24x^122+32x^123+6x^124+14x^126+6x^128

The gray image is a code over GF(3) with n=495, k=10 and d=306.
This code was found by Heurico 1.16 in 6.38 seconds.