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

generates a code of length 44 over Z27 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+86x^84+324x^85+378x^86+190x^87+378x^88+180x^89+114x^90+324x^91+144x^92+62x^93+2x^99+2x^102+2x^105

The gray image is a code over GF(3) with n=396, k=7 and d=252.
This code was found by Heurico 1.16 in 0.0298 seconds.