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

generates a code of length 73 over Z27 who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+26x^141+72x^143+90x^144+1836x^146+88x^147+10x^150+36x^152+26x^153+2x^219

The gray image is a code over GF(3) with n=657, k=7 and d=423.
This code was found by Heurico 1.16 in 0.216 seconds.