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

generates a code of length 41 over Z27 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+62x^66+146x^69+238x^72+54x^74+250x^75+432x^77+210x^78+1296x^80+276x^81+13122x^82+1728x^83+200x^84+864x^86+232x^87+208x^90+170x^93+104x^96+60x^99+18x^102+10x^105+2x^111

The gray image is a code over GF(3) with n=369, k=9 and d=198.
This code was found by Heurico 1.16 in 1.8 seconds.