The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1 21  1  0  1  1  1  1  1  1 24  1  1  1  1  1  1  0  1 24  9  1  1  6  9  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1 20 21  1 26  1  4 23 16  0 24 19  1  0 24 16 19 20 23  1  5  1  1 11 14  1  1 26  5 11 20
 0  0  9  0 18  9 18  0  9 18  0  9  9  0 18  9  9  0 18 18 18  9  0 18  9  0 18 18 18  9  9 18  0 18  0  0  0  0  9  9  0  9
 0  0  0  9  9 18 18  9  9  0  0 18  9 18  0 18  9  9  0  9 18  0 18 18  0  0  0  9  0  9 18 18  0 18  9 18  9 18  0 18  0  0

generates a code of length 42 over Z27 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+204x^78+72x^79+456x^80+890x^81+108x^82+894x^83+1444x^84+216x^85+918x^86+928x^87+90x^88+138x^89+162x^90+24x^92+10x^93+4x^102+2x^114

The gray image is a code over GF(3) with n=378, k=8 and d=234.
This code was found by Heurico 1.16 in 0.0936 seconds.