The generator matrix

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

generates a code of length 38 over Z27 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+36x^63+24x^64+30x^65+152x^66+120x^67+96x^68+320x^69+336x^70+192x^71+544x^72+1200x^73+3210x^74+894x^75+2232x^76+6246x^77+894x^78+1638x^79+294x^80+546x^81+180x^82+108x^83+116x^84+78x^85+30x^86+78x^87+24x^88+28x^90+24x^93+4x^96+6x^99+2x^102

The gray image is a code over GF(3) with n=342, k=9 and d=189.
This code was found by Heurico 1.16 in 1.16 seconds.