The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+606x^71+1644x^72+1890x^73+4380x^74+3594x^75+4446x^76+8520x^77+7122x^78+6858x^79+8910x^80+4924x^81+2808x^82+2208x^83+870x^84+36x^85+120x^86+42x^87+42x^89+26x^90+2x^99

The gray image is a code over GF(3) with n=351, k=10 and d=213.
This code was found by Heurico 1.16 in 17.8 seconds.