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  3  1  1  1  1  1  1  1
 0  9  0  0  0  0  0  0  0  0  9 18 18  9  9  9  0 18 18  9  9  9 18  0  0 18  9 18  9  9  9  0  0  9  9  0 18  0 18 18 18
 0  0  9  0  0  0  0  9 18 18 18  0  0 18  9 18  9  0  9  9  9  0  0 18 18 18 18 18  0 18  0  9  9  9  0 18 18  0  0  0  9
 0  0  0  9  0  0  9 18  0 18  0  0 18  9  9 18  0  9 18 18 18  9  0 18 18  9 18  0 18 18  9 18  9  9  9  9  9 18  0  9  0
 0  0  0  0  9  0 18 18  9  0 18 18 18  0 18 18  0 18 18  9  0  0  0 18 18  9 18 18  0  0  9  0 18 18 18  9 18  0  9 18  0
 0  0  0  0  0  9 18 18 18 18 18 18  9 18  9  9 18  9  0 18 18  0  9  9 18  0 18  0  9  9  9  9  9 18 18  9 18  9 18  0 18

generates a code of length 41 over Z27 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+96x^72+214x^75+486x^80+86x^81+4374x^82+972x^83+138x^84+42x^90+112x^93+18x^99+20x^102+2x^120

The gray image is a code over GF(3) with n=369, k=8 and d=216.
This code was found by Heurico 1.16 in 18.6 seconds.