The generator matrix

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

generates a code of length 41 over Z27 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+620x^72+1128x^73+4068x^74+7142x^75+11316x^76+18690x^77+26094x^78+35532x^79+51018x^80+59360x^81+68694x^82+76728x^83+63670x^84+47508x^85+31698x^86+16782x^87+6696x^88+3360x^89+928x^90+144x^91+60x^92+114x^93+54x^94+30x^95+6x^96

The gray image is a code over GF(3) with n=369, k=12 and d=216.
This code was found by Heurico 1.16 in 301 seconds.