The generator matrix

 1  0  1  1  1  1  1  1 21  1  1 24  1  1 21  3  1  1  1  1 24 15  1  9  0  1  1  1 18  1 15 24  1  1  1  3  1  1  1
 0  1  1 26 18 17  0 25  1 13 20  1  3  6  1  1 21 16 21  5  1  1 24  1  1 19 20 16  1 13  1  1  4 13  4  1 25 25 14
 0  0 24  9 21 12  6  3  0 18 15  9 21  6 24  3  0 24 15 18 21  6 12  6  3  0  9 21 24  6 12 18  3  9 15 15  0  9  3

generates a code of length 39 over Z27 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+726x^74+736x^75+546x^76+1134x^77+754x^78+432x^79+1020x^80+666x^81+150x^82+330x^83+12x^84+6x^86+8x^87+6x^88+12x^89+6x^90+12x^92+2x^93+2x^99

The gray image is a code over GF(3) with n=351, k=8 and d=222.
This code was found by Heurico 1.16 in 67.5 seconds.