The generator matrix

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

generates a code of length 29 over Z27 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+702x^53+1124x^54+972x^55+3780x^56+2052x^57+1458x^58+4590x^59+1848x^60+972x^61+1620x^62+540x^63+18x^66+6x^69

The gray image is a code over GF(3) with n=261, k=9 and d=159.
This code was found by Heurico 1.16 in 0.347 seconds.