The generator matrix

 1  0  1  1  1  1  1  1 18  1 21  1  1  0  1  1  1  1  1  1  1  1  6  1  1  1  1  1  1  1  1  1  1 21  3  1  3  3  1
 0  1  1 26 18 17  0 25  1 20  1 21 20  1 22  2 24 13 26 13  6  5  1 23 16 19  3  5  3 16 19 23 20  1  1 19  1  9  9
 0  0 24  9 21 12  6  3  3 18  0  0 15  6 21  3  9 18  6 15  6 18 21  6 15  0 21 12 15  0 21  3  9 15  9  3  3  6 12

generates a code of length 39 over Z27 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+300x^73+300x^74+758x^75+1032x^76+654x^77+694x^78+780x^79+516x^80+696x^81+612x^82+138x^83+28x^84+6x^85+6x^86+8x^87+6x^88+2x^90+18x^91+6x^92

The gray image is a code over GF(3) with n=351, k=8 and d=219.
This code was found by Heurico 1.16 in 0.0801 seconds.