The generator matrix

 1  0  1  1  1  1  1  1 18  1 21  1  1  0  1  1  1  1  6  1  1  1  1  1  1  3 24  3 24  1  1  1  1  1 21 18  1 21  1  1  1  1
 0  1  1 26 18 17  0 25  1 20  1 21 20  1  5 24  4  3  1  4  5 15 26  3 11  1  1  1  1 23 25 16 16 18  1  1 19  1 19 20 12 18
 0  0 24  9 21 12  6  3  3 18  0  0 15  6 18 15  0  3 24  6 21  3 24 15 21  3 18 24 12 15 12 24  9 18 12 18 12  6  9  9 18 12

generates a code of length 42 over Z27 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+204x^79+396x^80+784x^81+960x^82+774x^83+820x^84+516x^85+558x^86+724x^87+570x^88+180x^89+2x^90+12x^91+18x^92+2x^93+6x^94+18x^95+2x^96+14x^99

The gray image is a code over GF(3) with n=378, k=8 and d=237.
This code was found by Heurico 1.16 in 0.0903 seconds.