The generator matrix

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

generates a code of length 41 over Z27 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+288x^77+946x^78+432x^80+1584x^81+864x^83+1746x^84+360x^86+290x^87+40x^90+4x^96+4x^99+2x^114

The gray image is a code over GF(3) with n=369, k=8 and d=231.
This code was found by Heurico 1.16 in 40.2 seconds.