The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+192x^73+396x^74+1040x^75+1074x^76+1092x^77+1686x^78+2994x^79+1842x^80+2946x^81+3120x^82+1284x^83+1334x^84+276x^85+168x^86+22x^87+102x^88+48x^89+14x^90+18x^91+30x^92+2x^96+2x^102

The gray image is a code over GF(3) with n=360, k=9 and d=219.
This code was found by Heurico 1.16 in 0.655 seconds.