The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1 18  1  1  1  3  1  1  1 15  1  1  1  1  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9  7  8  1 12 13 11  1  6 10  5  1 18 25 17  1  3 22  2  1 15  1 14  1  0 21 24 16  9 12

generates a code of length 42 over Z27 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+42x^82+84x^83+470x^84+84x^85+42x^86+2x^96+4x^99

The gray image is a code over GF(3) with n=378, k=6 and d=246.
This code was found by Heurico 1.16 in 0.0121 seconds.