The generator matrix

 1  0  0  1  1  1  1  1  1 21  1 15  1  1  1  1  1  1 24  9  0  1 21  1  1 21  1  1  1 18  1  1  1  1  1  1
 0  1  0  1 18  1  2  0 16  1 14  1 20 25 21  5 17 26  1  1  1 21 12  1 25  1 19  9 12 21 21 26 19 25  3 21
 0  0  1 26 16  1 13 26 15 14 18 16 14 24 24 19 14 24 13  8  6  8  1 23 19 13 10 26 13  1  4 23 23  7 19 16
 0  0  0 24 18 15 21  6  0 18 12 15  6 12 24 18 18  6  3  3 15  0 24  0  3 24  9  3 15 12  3  9 15  9 15 12

generates a code of length 36 over Z27 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+286x^63+654x^64+2040x^65+3844x^66+4950x^67+9684x^68+11752x^69+14280x^70+24924x^71+23582x^72+22974x^73+27276x^74+16054x^75+7326x^76+4494x^77+1964x^78+732x^79+96x^80+98x^81+114x^82+6x^83+8x^84+6x^86+2x^93

The gray image is a code over GF(3) with n=324, k=11 and d=189.
This code was found by Heurico 1.16 in 32.1 seconds.