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  1  1  1 18 12  6  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  1 15  9  2  1  1  1 25
 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 24  5 26  4 16 22  8 20
 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 18  0  0 18  9 18  0

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

Homogenous weight enumerator: w(x)=1x^0+810x^73+1464x^74+1754x^75+4530x^76+3552x^77+4630x^78+9468x^79+5352x^80+7272x^81+9780x^82+3966x^83+2526x^84+2502x^85+1146x^86+86x^87+72x^88+66x^89+8x^90+48x^91+6x^92+4x^93+6x^94

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 65.9 seconds.