The generator matrix

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

generates a code of length 39 over Z27 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+66x^66+108x^68+200x^69+366x^71+296x^72+1728x^74+340x^75+1458x^76+4896x^77+370x^78+2916x^79+5118x^80+414x^81+702x^83+296x^84+180x^86+94x^87+24x^89+52x^90+32x^93+20x^96+2x^99+4x^102

The gray image is a code over GF(3) with n=351, k=9 and d=198.
This code was found by Heurico 1.16 in 1.23 seconds.