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

generates a code of length 76 over Z27 who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+24x^149+108x^150+216x^151+1584x^152+104x^153+108x^154+28x^156+12x^158+2x^228

The gray image is a code over GF(3) with n=684, k=7 and d=447.
This code was found by Heurico 1.16 in 0.191 seconds.