The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1 18  1  0  3  1  1  1  1  1  3
 0  3  0  0 24 21 15  3 24  9 24 21 21 18  0  6  3 24 21  6  0 24  3  3 12 21 15 12  3  9 18  0 15 24 15 12 18 18
 0  0  3 24  0 15 21  3  6 18  6  6 18  3  6 12 12  9 21  3  3 18 18 21  0 18  0 12 12 18  3 21 24 15 12 21  6 21
 0  0  0  9  0  0 18  0  0  9 18  9 18 18 18  9 18  9  0 18  0  9  0  0  9  0 18  9  9  0  9 18 18 18  0 18  0  9
 0  0  0  0  9 18  0  9 18  0 18 18  0 18  9 18  0 18  0 18 18  0  9  0  0 18  9 18  9 18 18  0  9  0  9 18  0  9

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

Homogenous weight enumerator: w(x)=1x^0+276x^67+340x^69+744x^70+908x^72+1428x^73+1458x^74+2370x^75+3714x^76+2916x^77+2418x^78+1728x^79+326x^81+588x^82+96x^84+240x^85+84x^87+30x^88+12x^90+2x^96+4x^99

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 18.9 seconds.