The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1 24  1  1 21  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1  1  1 18
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 24 16 20  1 19 23  1  9 16  8  1 12 13 11  1  6 10  5  1  9 12  6  7 17  1
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18 18  0  9  9  9  0  9  0 18 18  9  0 18 18  9  0 18 18 18  0 18  0 18 18

generates a code of length 42 over Z27 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+344x^81+594x^82+360x^84+324x^85+336x^87+216x^88+6x^90+6x^96

The gray image is a code over GF(3) with n=378, k=7 and d=243.
This code was found by Heurico 1.16 in 0.027 seconds.