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

generates a code of length 79 over Z27 who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+96x^157+576x^158+2x^159+48x^160+4x^183+2x^186

The gray image is a code over GF(3) with n=711, k=6 and d=471.
This code was found by Heurico 1.16 in 0.392 seconds.