The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 19 24 16 21  4  0
 0  0  9  0  0  0 18  9 18  9 18  9  0  0
 0  0  0  9  0  9  9  9 18 18  9 18 18 18
 0  0  0  0 18 18  0 18 18  9  9  0  0  9

generates a code of length 14 over Z27 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+84x^21+974x^24+2916x^26+3364x^27+2916x^28+5832x^29+3404x^30+160x^33+28x^36+4x^39

The gray image is a code over GF(3) with n=126, k=9 and d=63.
This code was found by Heurico 1.16 in 0.447 seconds.