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

generates a code of length 42 over Z27 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+198x^80+58x^81+84x^83+1602x^84+108x^86+18x^87+36x^89+20x^90+60x^92+2x^126

The gray image is a code over GF(3) with n=378, k=7 and d=240.
This code was found by Heurico 1.16 in 0.569 seconds.