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

generates a code of length 43 over Z27 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+172x^75+96x^76+30x^77+412x^78+156x^79+444x^80+490x^81+708x^82+2244x^83+598x^84+2244x^85+4398x^86+680x^87+2196x^88+2958x^89+690x^90+264x^91+132x^92+376x^93+144x^94+134x^96+24x^97+30x^99+36x^102+16x^105+4x^108+6x^111

The gray image is a code over GF(3) with n=387, k=9 and d=225.
This code was found by Heurico 1.16 in 85.2 seconds.