The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1 21  1  0  1  1  1  1  1  1 24  1  1  1  1  1  1  1  1  1  1  1  0  1  1
 0  1  7 26 21  4 20  1 24 19 23  1 20 21  1 26  1 16  0 24  4 19 23  1  0  9 16 26 21  9  4 23 19 10 12  1  3 21
 0  0  9  0 18  9 18  0  9 18  0  9  9  0 18  9  9 18 18  9  0  0 18 18  9  9 18  9 18  9  0  9 18  0  0  0 18  0
 0  0  0  9  9 18 18  9  9  0  0 18  9 18  0 18  9  9 18  0 18  9  0 18 18  0 18  0  0  9  9  9  9  0  0 18  9  9

generates a code of length 38 over Z27 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+126x^70+198x^71+434x^72+666x^73+222x^74+1054x^75+1242x^76+342x^77+1062x^78+846x^79+144x^80+94x^81+36x^82+48x^83+22x^84+18x^86+2x^90+4x^93

The gray image is a code over GF(3) with n=342, k=8 and d=210.
This code was found by Heurico 1.16 in 0.0797 seconds.