The generator matrix

 1  0  0  1  1  1  1  1  1  1  1 15  9  1  1  1  1  1  1  1  3 12  1  1  1  6  1  1  1  1  1
 0  1  0 18 21 16 25 20 11  4 17  1  1  6 24 19 22 11  8  7  1  1  8  1 14  1  5 12 10 20  1
 0  0  1 16 14  5 25  9  4  6 20 19 17  1 18 15 22 10 24  2 14 21 21 16 19 22  9 24  8 26 23

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

Homogenous weight enumerator: w(x)=1x^0+850x^57+1014x^58+1548x^59+2942x^60+1890x^61+2448x^62+3814x^63+1554x^64+1494x^65+1502x^66+558x^67+6x^68+22x^69+6x^70+6x^71+22x^72+6x^74

The gray image is a code over GF(3) with n=279, k=9 and d=171.
This code was found by Heurico 1.16 in 0.359 seconds.