The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1  1
 0  3 24  0 21 24  6  9 21 21  0 24 21  0 24  6 18 12 21  0 15 12  9  3 18  3 21  9  3  6  6 18 24  6  0 21 24  0 21 12
 0  0  9  0  0  0 18  0 18  9  0  9  9  9  0  9  9  0 18 18  9  0  9  9 18  0  9  0  0 18 18 18 18  0 18  0  9 18  9  0
 0  0  0  9  0  9 18 18 18  9  0 18  0 18 18 18  0 18  0  0  9  9 18  0  0  9  0 18  0 18  9  9  0  0 18  0  9  9  9 18
 0  0  0  0 18 18  9  0 18  9 18 18  0  0 18  0  9  0 18 18 18  0  9 18  0 18  9 18  9 18  0  9  9  9  0  0 18 18  0  9

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

Homogenous weight enumerator: w(x)=1x^0+88x^72+150x^73+146x^75+258x^76+1104x^78+426x^79+1458x^80+2070x^81+348x^82+114x^84+156x^85+56x^87+96x^88+44x^90+24x^91+10x^93+8x^96+2x^99+2x^114

The gray image is a code over GF(3) with n=360, k=8 and d=216.
This code was found by Heurico 1.16 in 0.166 seconds.