The generator matrix

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

generates a code of length 42 over Z27 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+312x^77+310x^78+936x^79+1032x^80+1572x^81+1620x^82+2442x^83+2298x^84+3024x^85+2358x^86+1670x^87+1224x^88+480x^89+128x^90+114x^92+94x^93+66x^95+2x^102

The gray image is a code over GF(3) with n=378, k=9 and d=231.
This code was found by Heurico 1.16 in 1.21 seconds.