The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  3  1  1  1
 0  3  0  0 24 21 15  3 24  9  3 18 24 21 21 15 24  9 21  0  3 24  6 21  9  9 12  3 24  6 21  3  9 18  6 18  6  9 21 15 21  9 21 15
 0  0  3 24  9  6 21  3  6 18  3 21  0 15 18  3  6 15  6 12  9  0  3 21 24 18 24 18 24  3 12 21 15 24 15  0  0 21  6  9 18  3 12 21
 0  0  0  9  0  0 18  9 18 18 18 18  9 18 18  0  9 18  9  9  9 18  9  0  0  9  9  9  0  0  0  0  0  9  0  9  9  0  0 18 18 18  9 18

generates a code of length 44 over Z27 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+274x^81+590x^84+648x^86+720x^87+1944x^88+1296x^89+572x^90+224x^93+162x^96+114x^99+14x^102+2x^126

The gray image is a code over GF(3) with n=396, k=8 and d=243.
This code was found by Heurico 1.16 in 0.171 seconds.