The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+710x^75+1194x^76+1734x^77+4914x^78+6612x^79+7716x^80+13122x^81+15918x^82+18840x^83+25284x^84+24528x^85+19980x^86+17032x^87+10332x^88+3990x^89+3452x^90+1128x^91+204x^92+304x^93+54x^94+12x^95+50x^96+12x^97+12x^98+12x^99

The gray image is a code over GF(3) with n=378, k=11 and d=225.
This code was found by Heurico 1.16 in 38.9 seconds.