The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1  1 24 12  1  1  3 12  1  1  1  1  1  1  1  1  0  1  1  1  9
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  3  8 10  1 18 25  7  1  1 24  3 15 19 25  6 17 16  1  2 14 18 12
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7 23  4  3 13  1  5  9 20  0 26 13 13 19 20 24  3 24  1 21 15  8  1

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

Homogenous weight enumerator: w(x)=1x^0+1062x^69+1530x^70+1242x^71+2712x^72+2322x^73+1998x^74+2838x^75+2106x^76+1026x^77+1800x^78+846x^79+108x^80+50x^81+42x^84

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 38.4 seconds.