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  1  1  1  1  1  1  3  1  1  1  1  1  1
 0  3 24  0 21 24  6  9 21 21  0 24 21  0 24  6 18 12 21  0  9 12  0 21 24  6  6  9  6 12  3  9 15 12  9  9  0  3 12 15  3 21  6  6  3 21  9 15  3  9  6 21
 0  0  9  0  0  0 18  0 18  9  0  9  9  9  0  9  9  0 18 18  9  0 18  9  9  0 18  0 18 18  9 18  9  9 18  0  9  9 18 18  0 18 18  9  0  0 18  0  9 18  0 18
 0  0  0  9  0  9 18 18 18  9  0 18  0 18 18 18  0 18  0  0 18  9 18  0  9  0  0 18 18  9 18  9  0 18 18  0  9  0  0 18  9  9  9  9 18  0  9  9 18  0 18  9
 0  0  0  0 18 18  9  0 18  9 18 18  0  0 18  0  9  0 18 18  9  0 18  9  0 18  9 18  0 18  0 18 18  9  9  9  0 18  9 18 18  0  0  9 18  9  0  9 18  0  0  9

generates a code of length 52 over Z27 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+194x^96+430x^99+932x^102+2916x^104+1518x^105+224x^108+158x^111+138x^114+36x^117+8x^120+4x^123+2x^153

The gray image is a code over GF(3) with n=468, k=8 and d=288.
This code was found by Heurico 1.16 in 0.277 seconds.