The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1 21  1  0  1  1  1  1  1  1 24  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1 21 20  1 26  1 16  0 24  4 19 23  1  0 24  9 18  6  6 16 16
 0  0  9  0 18  9 18  0  9 18  0  9  0  9 18  9  9 18 18  9  0  0 18 18  9  0  9 18  0 18 18  9
 0  0  0  9  9 18 18  9  9  0  0 18 18  9  0 18  9  9 18  0 18  9  0 18 18 18  9  9  0  0 18 18

generates a code of length 32 over Z27 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+60x^58+72x^59+854x^60+120x^61+108x^62+2224x^63+126x^64+216x^65+2322x^66+120x^67+90x^68+166x^69+60x^70+16x^72+4x^78+2x^87

The gray image is a code over GF(3) with n=288, k=8 and d=174.
This code was found by Heurico 1.16 in 0.0621 seconds.