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

generates a code of length 38 over Z27 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+178x^69+318x^70+954x^71+1080x^72+1014x^73+1908x^74+3378x^75+1686x^76+2502x^77+3538x^78+1164x^79+1368x^80+262x^81+102x^82+36x^83+48x^84+78x^85+36x^86+14x^87+12x^88+4x^90+2x^96

The gray image is a code over GF(3) with n=342, k=9 and d=207.
This code was found by Heurico 1.16 in 0.612 seconds.