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

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

Homogenous weight enumerator: w(x)=1x^0+370x^141+18x^142+144x^143+930x^144+108x^145+540x^146+1080x^147+216x^148+1080x^149+1160x^150+144x^151+180x^152+272x^153+102x^156+88x^159+82x^162+24x^165+18x^168+2x^177+2x^198

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 0.648 seconds.