The generator matrix

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

generates a code of length 32 over Z27 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+34x^51+6x^53+172x^54+66x^55+264x^56+292x^57+990x^58+1290x^59+2596x^60+5130x^61+4122x^62+8494x^63+10056x^64+6324x^65+8692x^66+6894x^67+2490x^68+546x^69+162x^70+84x^71+220x^72+30x^73+46x^75+26x^78+14x^81+6x^84+2x^87

The gray image is a code over GF(3) with n=288, k=10 and d=153.
This code was found by Heurico 1.16 in 3.94 seconds.