The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1  1  1  3  9  3  3  9  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21  6 16 19 20  5 18  1 21 15  1  8
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18 18  9  0  9 18  9 18  9  0  9

generates a code of length 28 over Z27 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+504x^53+296x^54+468x^56+376x^57+468x^59+54x^60+18x^62+2x^84

The gray image is a code over GF(3) with n=252, k=7 and d=159.
This code was found by Heurico 1.16 in 18.1 seconds.