The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+246x^73+354x^74+630x^75+1452x^76+1698x^77+2834x^78+4044x^79+5436x^80+7106x^81+8334x^82+8550x^83+7680x^84+5274x^85+2418x^86+1340x^87+816x^88+360x^89+48x^90+204x^91+114x^92+42x^93+42x^94+24x^95+2x^96

The gray image is a code over GF(3) with n=369, k=10 and d=219.
This code was found by Heurico 1.16 in 5.54 seconds.