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

generates a code of length 43 over Z27 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+126x^81+438x^84+972x^86+474x^87+76x^90+84x^93+12x^96+2x^99+2x^126

The gray image is a code over GF(3) with n=387, k=7 and d=243.
This code was found by Heurico 1.16 in 0.0436 seconds.