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

generates a code of length 33 over Z27 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+270x^58+372x^59+174x^60+558x^61+774x^62+94x^63+2418x^64+1236x^65+5968x^66+4482x^67+1242x^68+228x^69+696x^70+540x^71+76x^72+246x^73+186x^74+6x^75+72x^76+24x^77+12x^78+6x^79+2x^93

The gray image is a code over GF(3) with n=297, k=9 and d=174.
This code was found by Heurico 1.16 in 54.2 seconds.