The generator matrix

 1  0  0  1  1  1  1  1 24  1  1  1 15  1  1  1 15  1  1  0 21 21  1  1  9  1  1  1 21  1  1  0  1
 0  1  0  1 15 17  1 17  1 23 10 21  1  4 15 20 21 24  7  1  1  1 26 13 24  2 12 23  1  2 12 12 18
 0  0  1 26 16 20  1 21  4 25 21 17  5 26 18  0  1 25  3 15 22 11  8 19  1 23  7 19 22 24 12  1 15
 0  0  0 24 15 24  9  0  6 12 18  6 21  9 21 24 12 18 15 15  9  6  3 15 24  9 21  0  3 15 15  9 21

generates a code of length 33 over Z27 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+236x^57+426x^58+2088x^59+2834x^60+4500x^61+9594x^62+11222x^63+15564x^64+25626x^65+24694x^66+24798x^67+26808x^68+14852x^69+7254x^70+4734x^71+1212x^72+366x^73+150x^74+96x^75+66x^76+12x^77+14x^78

The gray image is a code over GF(3) with n=297, k=11 and d=171.
This code was found by Heurico 1.16 in 28.8 seconds.