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

generates a code of length 73 over Z27 who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+268x^138+450x^141+162x^142+1384x^144+648x^145+2386x^147+648x^148+238x^150+138x^153+116x^156+68x^159+50x^162+2x^165+2x^207

The gray image is a code over GF(3) with n=657, k=8 and d=414.
This code was found by Heurico 1.16 in 1.56 seconds.