The generator matrix

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

generates a code of length 41 over Z27 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+552x^73+1134x^74+2480x^75+3978x^76+6018x^77+8888x^78+11880x^79+17076x^80+19084x^81+24012x^82+25428x^83+20808x^84+16518x^85+10092x^86+5486x^87+2142x^88+870x^89+304x^90+150x^91+96x^92+52x^93+60x^94+36x^95+2x^96

The gray image is a code over GF(3) with n=369, k=11 and d=219.
This code was found by Heurico 1.16 in 37.6 seconds.