The generator matrix

 1  0  1  1  1  1  1  1 18  1 24  1  1  1  1  1  1  1 21  1  1 24  1  1  1 21  1 15 18  1  1  3  1  1  1  1  1  1  3  6 21  1  1
 0  1  1 26 18 17  0 16  1 26  1  4  3 24  4 22 21 23  1 19 21  1 24  2  6  1 20  1  1 16  3  1 23  1 25  3  0 14  1  1  1 20  9
 0  0 24  9 21 12  6 15 12  6 15 24  3  6 18 12 18  0 15  9 15  9 18 21  3  9  0 12  6 18 24  3  6 21 12  0 12  9  0  3  6 15  9

generates a code of length 43 over Z27 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+194x^81+402x^82+1128x^83+468x^84+648x^85+1206x^86+354x^87+510x^88+1044x^89+324x^90+204x^91+6x^92+20x^93+6x^94+6x^95+6x^96+6x^98+6x^99+12x^100+6x^101+4x^102

The gray image is a code over GF(3) with n=387, k=8 and d=243.
This code was found by Heurico 1.16 in 0.0937 seconds.