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

generates a code of length 40 over Z27 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+300x^71+214x^72+678x^74+342x^75+324x^76+1224x^77+2904x^78+1296x^79+2922x^80+5372x^81+1296x^82+1224x^83+360x^84+630x^86+166x^87+252x^89+90x^90+60x^92+16x^93+8x^96+2x^102+2x^108

The gray image is a code over GF(3) with n=360, k=9 and d=213.
This code was found by Heurico 1.16 in 31.4 seconds.