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  1  1  1  9 21 12  1  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21  9 16 16 20 12 13  8 11  1  1  1 19 10 10
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0  9  0 18 18  9  0 18  0 18 18  0  9  9 18

generates a code of length 31 over Z27 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+432x^59+350x^60+432x^62+482x^63+432x^65+48x^66+4x^69+6x^72

The gray image is a code over GF(3) with n=279, k=7 and d=177.
This code was found by Heurico 1.16 in 1.76 seconds.