The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1 21 24  1  1  1 12  1  3  1  1  1  1  1 24  1  1  0  1 12  1
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  3  8  1  1  7 16  2 18 11  1 22  6 15  3  4  1 21 17 12  0  1 17
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7 23  4 12 13  9 14  3  1 26 20 19 21 20  1 24 16 18  0  1  4 24 11

generates a code of length 37 over Z27 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+810x^69+1950x^70+1368x^71+2076x^72+2766x^73+2214x^74+2184x^75+2448x^76+1188x^77+1458x^78+1056x^79+90x^80+20x^81+24x^82+12x^84+18x^85

The gray image is a code over GF(3) with n=333, k=9 and d=207.
This code was found by Heurico 1.16 in 152 seconds.