The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  0  1  1  1 24  1  1  1  1  1  1 21 24  1  1  1  1
 0  1  7 26  4 21 20  1  0 16 26  1 24 19 23  1  4 21 24 19 20 23  1  1  9 12  6  9
 0  0  9  0 18 18  9  9  9  0 18 18 18 18  9  9  9  9  0  0 18  0 18  0 18  0  9  9

generates a code of length 28 over Z27 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+162x^52+144x^53+116x^54+648x^55+216x^56+84x^57+648x^58+108x^59+36x^60+18x^62+6x^66

The gray image is a code over GF(3) with n=252, k=7 and d=156.
This code was found by Heurico 1.16 in 0.00981 seconds.