The generator matrix

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

generates a code of length 41 over Z27 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+18x^78+558x^79+180x^80+26x^81+684x^82+72x^83+18x^84+522x^85+72x^86+12x^87+18x^88+6x^96

The gray image is a code over GF(3) with n=369, k=7 and d=234.
This code was found by Heurico 1.16 in 0.0241 seconds.