The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  0  1  1  1  1 21  1  1  1 24  1  1  1  1  1  0  1  1 24  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 19 24  1 23 26 16  0  4  1 19 21 20 23  1 24 16 21  1 20  4 23 12 24  1 20 21  1 11  4 13 22 26  3  0
 0  0  9  0  0  0 18  9 18  9  9  9  9  0 18  0  0  9  9 18 18  0  9 18 18  9 18 18  0  9  9 18  9 18 18 18 18  9  9 18  0  0
 0  0  0  9  0  9  9  9 18 18  0 18  0  9  9  0  9  9  0  9  9 18  0  9 18  0 18 18  0 18  0  0  9 18  0 18  9  0 18  0  0  9
 0  0  0  0 18 18  0 18 18  9 18 18  9  9  9  9  0  0  0 18  9  9 18  0  9  9  9  0  9  0  9 18  9  0  0 18  0 18  9 18  0  0

generates a code of length 42 over Z27 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+62x^75+246x^77+920x^78+876x^80+2834x^81+2028x^83+5654x^84+2184x^86+4000x^87+366x^89+318x^90+132x^92+38x^93+10x^96+4x^99+4x^102+2x^108+2x^111+2x^114

The gray image is a code over GF(3) with n=378, k=9 and d=225.
This code was found by Heurico 1.16 in 0.686 seconds.