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

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

Homogenous weight enumerator: w(x)=1x^0+90x^73+186x^74+40x^75+450x^76+408x^77+868x^78+576x^79+888x^80+1710x^81+564x^82+252x^83+42x^84+120x^85+114x^86+8x^87+108x^88+84x^89+30x^91+12x^92+2x^93+6x^94+2x^108

The gray image is a code over GF(3) with n=360, k=8 and d=219.
This code was found by Heurico 1.16 in 0.148 seconds.