The generator matrix

 1  0  0  1  1  1  1  1  1  1  1 18 21  1  1  1  1 12  1  1  1 24  1  1 24  1  1  6  1  1  1  1
 0  1  0 18 21 16 25 20 11  4 26  1  1  9  3 17  1  1 23 19  3  3 19 22  1 14  1  1 25  7 21 24
 0  0  1 16 14  5 25  9  4  6  8 16 14  3 11  4 25  6 24 12 13  1  2 16  1 11 26  2 26  1  3  0

generates a code of length 32 over Z27 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+912x^59+1302x^60+858x^61+3432x^62+2352x^63+1392x^64+3840x^65+2316x^66+810x^67+1824x^68+576x^69+6x^70+24x^71+14x^72+12x^73+12x^74

The gray image is a code over GF(3) with n=288, k=9 and d=177.
This code was found by Heurico 1.16 in 0.385 seconds.