The generator matrix

 1  0  1  1  1  1  1  1 18  1 24  1  1  1  1  1  1  1  1  1  1  1  1  1 15  1  1  1  1  1  1
 0  1  1 26 18 17  0 16  1 26  1  4  3 24  4 22 21 21 19 24 16 15 25 20  1 20  6  1  1 24 16
 0  0 24  9 21 12  6 15 12  6 15 24  3  6 18 12 18 15  9  0  9 21 12 24  3  0  3  3 21 18  0

generates a code of length 31 over Z27 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+164x^57+342x^58+564x^59+826x^60+930x^61+1020x^62+804x^63+918x^64+498x^65+364x^66+54x^67+12x^68+12x^69+24x^70+6x^71+12x^72+6x^74+2x^78+2x^81

The gray image is a code over GF(3) with n=279, k=8 and d=171.
This code was found by Heurico 1.16 in 0.0573 seconds.