The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1  1  9  1  1 21  6  1 21  1  1  1  1 18  1 21  1  3  1 12 24  1  0  1  3  1  1  6  1  1
 0  1  0  0 18  1 19  1  3 12 11 23  2 25  1 21  6  1  1 25 15  8  1 15 18  1 16  1  5 15 26  1  1  8 15 20  1 19 25  1  7  9
 0  0  1  0 16 25 14  7  4  5 15  1 11 19 14 24 23 25 15 20  1  7 10 13 11 26 14 19 17  1  4 21 23  2  1  9  6  8 10 12 21 12
 0  0  0  1 14  9  5  5  1 21 13  3 11 23 25 26  4 25  8 25  7 13  4 18 17 21  9 24 25 20 26 14 20  3  1 11 22 20 26 22  3 15

generates a code of length 42 over Z27 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+474x^74+1182x^75+4854x^76+7134x^77+11862x^78+18450x^79+26736x^80+34324x^81+51948x^82+61020x^83+65134x^84+75414x^85+63528x^86+46446x^87+33180x^88+17574x^89+7366x^90+3594x^91+822x^92+116x^93+120x^94+96x^95+24x^96+30x^97+6x^98+6x^100

The gray image is a code over GF(3) with n=378, k=12 and d=222.
This code was found by Heurico 1.16 in 311 seconds.