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

generates a code of length 51 over Z27 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+100x^96+164x^99+1674x^102+202x^105+16x^108+16x^114+6x^117+6x^123+2x^144

The gray image is a code over GF(3) with n=459, k=7 and d=288.
This code was found by Heurico 1.16 in 0.183 seconds.