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

generates a code of length 74 over Z27 who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+148x^141+540x^142+156x^144+4860x^148+312x^150+216x^151+48x^153+24x^159+216x^160+38x^162+2x^222

The gray image is a code over GF(3) with n=666, k=8 and d=423.
This code was found by Heurico 1.16 in 22.3 seconds.