The generator matrix

 1  0  1  1  1  1  1  1 18 24  1  1  1 24  1  1  1 21  1  1  1  1  0 12  1  1  1  1
 0  1  1 26 18 17  0 16  1  1 22 21 20  1 20  4 24  1  5 15 24  8  3  1 11  4 18 18
 0  0 24  9 21 12  6 15 12  9  3  0  9 15  6 24  9  9  0 12 15  3  6 12 21  0 15  3

generates a code of length 28 over Z27 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+140x^51+264x^52+840x^53+832x^54+654x^55+930x^56+1094x^57+618x^58+804x^59+232x^60+72x^61+18x^62+34x^63+6x^64+16x^66+6x^67

The gray image is a code over GF(3) with n=252, k=8 and d=153.
This code was found by Heurico 1.16 in 0.05 seconds.