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

generates a code of length 37 over Z27 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+570x^66+72x^68+1266x^69+324x^70+432x^71+3220x^72+1296x^73+3294x^74+5238x^75+1296x^76+576x^77+1158x^78+656x^81+258x^84+24x^87+2x^99

The gray image is a code over GF(3) with n=333, k=9 and d=198.
This code was found by Heurico 1.16 in 1.2 seconds.