The generator matrix

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

generates a code of length 80 over Z27 who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+378x^157+156x^159+1350x^160+80x^162+54x^163+162x^166+6x^186

The gray image is a code over GF(3) with n=720, k=7 and d=471.
This code was found by Heurico 1.16 in 0.213 seconds.