The generator matrix

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

generates a code of length 38 over Z27 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+54x^67+174x^68+134x^69+390x^70+654x^71+794x^72+1812x^73+1380x^74+2408x^75+3432x^76+1848x^77+2486x^78+2418x^79+1164x^80+202x^81+132x^82+114x^83+20x^84+24x^85+12x^86+16x^87+2x^90+2x^93+8x^96+2x^105

The gray image is a code over GF(3) with n=342, k=9 and d=201.
This code was found by Heurico 1.16 in 0.944 seconds.