The generator matrix

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

generates a code of length 39 over Z27 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+192x^71+288x^72+1098x^73+1152x^74+916x^75+2412x^76+2724x^77+1668x^78+2994x^79+2622x^80+1098x^81+1692x^82+486x^83+74x^84+36x^85+84x^86+76x^87+30x^88+30x^89+8x^90+2x^96

The gray image is a code over GF(3) with n=351, k=9 and d=213.
This code was found by Heurico 1.16 in 0.632 seconds.