The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1 21  1  1  1  1  1  1  1  1  1  0 24  1  3  1
 0  1  7 26 21  4 20  1 24 19 23  1 20 21  1  4 16 19  0 24  4 26 23 13  1  1 16 21 19
 0  0  9  0 18  9 18  0  9 18  0  9  9  0 18 18  0 18  9 18  0  9 18 18  9 18  0  9  9
 0  0  0  9  9 18 18  9  9  0  0 18  9 18  0 18 18  9  0 18  9 18  0  9  9 18  9  0 18

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

Homogenous weight enumerator: w(x)=1x^0+234x^53+710x^54+396x^56+2110x^57+486x^59+2172x^60+306x^62+90x^63+36x^65+12x^66+6x^69+2x^84

The gray image is a code over GF(3) with n=261, k=8 and d=159.
This code was found by Heurico 1.16 in 0.0544 seconds.