The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  0  1 24  1 21  1  1  1  1  1  1  1  1  1  1 21  1  1  1  1  1 24  1  1  1 21  1  1 12
 0  1  7 26 21  4 20  1 19 24  1 23 26  0  1 16  1 24  1 23 21  4 20 19 21  0 16  4 20  1 21 16 26 23  8  1 16  4 25  1 24 13  1
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18  0 18  0  9  0  9 18  9  0  9  0  9  0  9  9  9  0  0 18  9  0  0 18  9 18  9 18  0
 0  0  0  9  0  9  9  9 18 18  0 18  9  0  9 18  0  9  9  0  0 18  9 18 18 18  9  0  0  0  0  9  0 18 18 18  0  9 18 18 18  0  0
 0  0  0  0 18 18  0 18 18  9 18 18  0 18 18 18 18  9  9  9  9  9  9  0  0  9 18  9 18  0  0  0  0  0  0 18  0 18  0  0 18 18 18

generates a code of length 43 over Z27 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+234x^78+126x^79+486x^80+724x^81+846x^82+1836x^83+1232x^84+2214x^85+3726x^86+1642x^87+2250x^88+2592x^89+978x^90+396x^91+108x^92+196x^93+66x^96+14x^99+12x^102+2x^105+2x^108

The gray image is a code over GF(3) with n=387, k=9 and d=234.
This code was found by Heurico 1.16 in 0.743 seconds.