The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  0  1
 0  3  0  0 24 21 15  3 24  9  3 18 24  9 21 21  6 24  9 24  9 21 21 18 18  6 12  6 12  9 18 24
 0  0  3 24  9  6 21  3  6 18  3 21  0 15  6 18 12  6 18 24  3 18 24  0 24  0 21  6 12  3  3 21
 0  0  0  9  0  0 18  9 18 18 18 18  9 18 18 18  9  9  9  0  9  9  9  0  0 18  0 18 18  0 18  0

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

Homogenous weight enumerator: w(x)=1x^0+204x^58+216x^59+38x^60+186x^61+1404x^62+90x^63+1698x^64+1944x^65+102x^66+162x^67+108x^68+10x^69+120x^70+216x^71+48x^73+12x^76+2x^90

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 2.55 seconds.