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  1  1 12  1  1  6  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  6 12 13 11  1 10  5  1 18 15  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  0  9 18  0 18 18  0 18 18  9  9  0

generates a code of length 40 over Z27 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+456x^77+366x^78+558x^80+228x^81+432x^83+128x^84+12x^86+2x^90+4x^93

The gray image is a code over GF(3) with n=360, k=7 and d=231.
This code was found by Heurico 1.16 in 0.231 seconds.