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

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

Homogenous weight enumerator: w(x)=1x^0+100x^69+96x^70+144x^71+322x^72+144x^73+1110x^74+292x^75+1530x^76+2004x^77+200x^78+78x^79+48x^80+200x^81+36x^82+78x^83+68x^84+54x^85+12x^86+24x^87+6x^88+6x^89+6x^90+2x^108

The gray image is a code over GF(3) with n=342, k=8 and d=207.
This code was found by Heurico 1.16 in 0.137 seconds.