The generator matrix

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

generates a code of length 38 over Z27 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+288x^66+870x^67+3858x^68+5880x^69+11610x^70+15918x^71+25744x^72+37704x^73+47874x^74+64062x^75+74034x^76+72912x^77+67944x^78+49764x^79+29112x^80+14184x^81+6684x^82+2310x^83+414x^84+102x^85+36x^86+66x^87+24x^88+24x^89+22x^90

The gray image is a code over GF(3) with n=342, k=12 and d=198.
This code was found by Heurico 1.16 in 274 seconds.