The generator matrix

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

generates a code of length 54 over Z27 who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+492x^101+568x^102+774x^103+1308x^104+1842x^105+1242x^106+2034x^107+2626x^108+2322x^109+1782x^110+2160x^111+1008x^112+918x^113+234x^114+186x^116+44x^117+48x^119+42x^120+24x^122+12x^123+12x^125+2x^126+2x^129

The gray image is a code over GF(3) with n=486, k=9 and d=303.
This code was found by Heurico 1.16 in 2.93 seconds.