The generator matrix

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

generates a code of length 40 over Z27 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+972x^73+1350x^74+1770x^75+4152x^76+3720x^77+4902x^78+8856x^79+6540x^80+6780x^81+9048x^82+4470x^83+2638x^84+2598x^85+852x^86+172x^87+90x^88+66x^89+14x^90+42x^91+12x^92+2x^93+2x^96

The gray image is a code over GF(3) with n=360, k=10 and d=219.
This code was found by Heurico 1.16 in 894 seconds.