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  3  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1
 0  9  0  0  0  0  9 18 18  0  0  9  9  9  9  9  9  9  0 18  0 18  0 18  9  0 18  9 18  9 18  0 18  0 18  9 18  0  0  0
 0  0  9  0  0  9 18  0 18  0  9  9 18 18  0  9  0  9  9  9  9  0  0 18  0 18  9 18 18  0  9  9 18  9  0  9 18  0  0  9
 0  0  0  9  0 18 18  9  0  9  9  0  0  9 18  9  9 18 18  0  0 18 18 18  9 18  0  9  0 18 18 18  9  0  9 18  9  0 18 18
 0  0  0  0  9 18 18 18 18 18  0 18  0  0 18 18  0  9  0  0 18 18  9 18  9  9  9 18  9  9 18  9  9 18  9 18  0 18  0 18

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

Homogenous weight enumerator: w(x)=1x^0+44x^72+44x^75+54x^76+50x^78+216x^79+1458x^80+34x^81+216x^82+20x^84+6x^87+20x^90+8x^93+14x^96+2x^114

The gray image is a code over GF(3) with n=360, k=7 and d=216.
This code was found by Heurico 1.16 in 0.0387 seconds.