The generator matrix

 1  0  1  1  1  1  1  1 18  1 21  1  1  0  1  1  1  1  1  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1 26 18 17  0 25  1 20  1 21 20  1 22  2 24 13 26  1  5 15 23 16 15  3  3  1 22 16 10 12 10 20  0 18
 0  0 24  9 21 12  6  3  3 18  0  0 15  6 21  3  9 18  6 24 18 12  3  0  6 15 21 21 15 15 18  9  3  6  9 24

generates a code of length 36 over Z27 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+210x^67+252x^68+800x^69+1098x^70+474x^71+774x^72+1128x^73+468x^74+754x^75+444x^76+90x^77+4x^78+18x^79+12x^80+8x^81+6x^82+6x^84+12x^85+2x^93

The gray image is a code over GF(3) with n=324, k=8 and d=201.
This code was found by Heurico 1.16 in 0.0708 seconds.