The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  9  1  1  1  1  1 15  1  1  6  1 12  9  3  1  1  1 18 12  1  1  1  1  1 24  6  1  1  1  1  0  1
 0  1  0 18 21 16 25 20 11  4 26  1  9 19 10  3  2  1 18 14  1 23  1 24  1 12 17 22  1  1 12 16 19 26 15  9 21 17 10 10 23  1  6
 0  0  1 16 14  5 25  9  4  6  8 17  3  1  2 11 24 25 19 13 23 17 13  1 21 24 21  7  5 15 13  6 14 11 26  1  1  6  9  3 11  3 12

generates a code of length 43 over Z27 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+456x^80+374x^81+2214x^82+1716x^83+1614x^84+2598x^85+2418x^86+1402x^87+2796x^88+1500x^89+858x^90+1110x^91+534x^92+36x^93+12x^94+12x^95+2x^96+12x^97+6x^98+6x^99+6x^100

The gray image is a code over GF(3) with n=387, k=9 and d=240.
This code was found by Heurico 1.16 in 0.518 seconds.