The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+206x^78+534x^79+1740x^80+2536x^81+3720x^82+3714x^83+6182x^84+6066x^85+6732x^86+8332x^87+7182x^88+4500x^89+4084x^90+1752x^91+1218x^92+262x^93+162x^94+54x^95+12x^96+24x^97+24x^98+12x^99

The gray image is a code over GF(3) with n=387, k=10 and d=234.
This code was found by Heurico 1.16 in 4.76 seconds.