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

generates a code of length 75 over Z27 who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+18x^144+30x^146+64x^147+72x^148+72x^149+1708x^150+72x^151+36x^152+42x^153+18x^154+24x^155+26x^156+2x^159+2x^225

The gray image is a code over GF(3) with n=675, k=7 and d=432.
This code was found by Heurico 1.16 in 0.237 seconds.