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  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  9  0  0  9  0  9  9 18  0  0  9  9  0 18  9 18 18  0  9 18  0  9 18 18 18 18  0  0  0  9  9  0  9  9 18  9  0  0  9  9  0 18  9  0 18 18  9  0  9
 0  0  9  0 18  9 18  9 18  0  9  9  0 18  0  0  9  9 18 18 18 18  9  0  0  9 18  0  0  9 18  9  9 18  0 18  0  0  9  9  0 18  0  9 18 18  0 18 18  9
 0  0  0  9 18 18  0 18 18 18  9  0 18  0 18  9  9  0  9  9  9 18  9  0  9 18  0  0  9 18 18 18  9  9  9 18 18 18  0  0  0  9  9  9  0  0  0  0 18  0

generates a code of length 50 over Z27 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+24x^96+54x^98+24x^99+486x^100+108x^101+14x^102+12x^105+2x^108+2x^111+2x^147

The gray image is a code over GF(3) with n=450, k=6 and d=288.
This code was found by Heurico 1.16 in 0.0358 seconds.