The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1 21  1  1  1  9  1 12  3  1  1  1  1 18
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 16 20  1 24 19  8  1 11  1 21  9  6 12  8  1
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  9  0 18 18  9  0 18 18  0  0  9  9 18  0  9 18

generates a code of length 32 over Z27 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+480x^61+336x^62+8x^63+456x^64+342x^65+10x^66+456x^67+72x^68+6x^69+12x^70+6x^71+2x^75

The gray image is a code over GF(3) with n=288, k=7 and d=183.
This code was found by Heurico 1.16 in 2.57 seconds.