The generator matrix

 1  0  1  1  1  1  1  1 18  1 21  1  1  0  1  1 21  1  1  1  1 24  3  1 24  1  1  1  1  6  1  3
 0  1  1 26 18 17  0 25  1 20  1 21 20  1  5 24  1 12 26 21 14  1  1  6  1  6  2  5 16  1 26  1
 0  0 24  9 21 12  6  3  3 18  0  0 15  6 18  9  6  3  6 24 12 18  3  6 21 21  3  6 18 24  0 21

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

Homogenous weight enumerator: w(x)=1x^0+156x^59+140x^60+1182x^61+606x^62+278x^63+1704x^64+744x^65+270x^66+1152x^67+240x^68+14x^69+6x^70+24x^71+6x^72+6x^73+12x^74+18x^75+2x^87

The gray image is a code over GF(3) with n=288, k=8 and d=177.
This code was found by Heurico 1.16 in 0.0602 seconds.