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.