The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9  7  8  1 12 13 11  1  6 10  5  1 18 25 17  3 22  2 15  1 14  0 21 16  4 24  7 13  9 12  6 19 10

generates a code of length 45 over Z27 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+324x^89+238x^90+162x^92+2x^108+2x^117

The gray image is a code over GF(3) with n=405, k=6 and d=267.
This code was found by Heurico 1.16 in 20.5 seconds.