The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  0  1 24  1 21  1  1  1  1  1  1  1  1 21  1  1  1  1  1  1  1 24 21  1  1  3
 0  1  7 26 21  4 20  1 19 24  1 23 26  0  1 16  1 24  1 23 21 20  4 19 21 20 16  1  4  0 21  4 26 23  8  1  1 26 17  0
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18  0 18  0  9  0  9  9 18  0  9  9  9  9  0  0  9  0  0 18  9  0 18  9  0  0
 0  0  0  9  0  9  9  9 18 18  0 18  9  0  9 18  0  9  9  0  0  9 18 18 18  0  9  0  0 18  0  9  0 18 18 18 18  0 18  0
 0  0  0  0 18 18  0 18 18  9 18 18  0 18 18 18 18  9  9  9  9  9  9  0  0 18 18  0  9  9  0  0  0  0  0 18  0 18  9 18

generates a code of length 40 over Z27 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+266x^72+54x^73+486x^74+810x^75+594x^76+1836x^77+1734x^78+1782x^79+3726x^80+2192x^81+1728x^82+2592x^83+1252x^84+216x^85+108x^86+224x^87+66x^90+4x^93+2x^96+4x^99+4x^102+2x^105

The gray image is a code over GF(3) with n=360, k=9 and d=216.
This code was found by Heurico 1.16 in 0.649 seconds.