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

generates a code of length 72 over Z27 who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+180x^141+1860x^144+108x^147+36x^150+2x^216

The gray image is a code over GF(3) with n=648, k=7 and d=423.
This code was found by Heurico 1.16 in 0.207 seconds.