The generator matrix

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

generates a code of length 53 over Z27 who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+252x^101+848x^102+360x^103+792x^104+1164x^105+432x^106+546x^107+708x^108+324x^109+474x^110+574x^111+18x^112+18x^113+12x^116+8x^117+12x^119+6x^120+12x^123

The gray image is a code over GF(3) with n=477, k=8 and d=303.
This code was found by Heurico 1.16 in 0.137 seconds.