The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1  1  1 21 24  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1  1  1  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 24 16 19 20 23  1  1  9 16  8  1 12 13 11  1  6 10  5  1  9 12  0  9 21 12  7
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18 18  9  0  9  0  9  9  0 18 18  9  0 18 18  9  0 18 18 18  0  9  0  9 18  0

generates a code of length 43 over Z27 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+570x^83+116x^84+846x^86+84x^87+486x^89+36x^90+42x^92+2x^99+4x^102

The gray image is a code over GF(3) with n=387, k=7 and d=249.
This code was found by Heurico 1.16 in 0.0294 seconds.