The generator matrix

 1  0  1  1  1  1  1  1 18  1 24  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 24 15  1  1  1  1  1
 0  1  1 26 18 17  0 16  1 26  1  4  3 24 21 22 16 24 15  4 21 19  3 24  6 25 25 19  1 25 14  1  1 18 10  1 18 20
 0  0 24  9 21 12  6 15 12  6 15 24  3  6 18 12  9  0 21 18 15  9 24 18  3 12 21 15  0  0  3 18  0 15 12  3  6  9

generates a code of length 38 over Z27 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+842x^72+504x^73+594x^74+972x^75+954x^76+756x^77+876x^78+468x^79+108x^80+404x^81+18x^82+36x^84+24x^87+4x^99

The gray image is a code over GF(3) with n=342, k=8 and d=216.
This code was found by Heurico 1.16 in 0.797 seconds.