The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 6 0 0 0 0 0 0 6 6 0 0 6 3 6 6 0
0 0 6 0 0 0 0 0 3 6 6 6 6 0 3 3 0
0 0 0 6 0 0 0 6 3 0 6 0 0 6 6 3 0
0 0 0 0 6 0 0 3 3 0 3 6 3 6 6 0 0
0 0 0 0 0 6 0 3 0 6 6 3 3 0 0 0 6
0 0 0 0 0 0 6 6 3 3 3 3 6 3 6 3 3
generates a code of length 17 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 21.
Homogenous weight enumerator: w(x)=1x^0+44x^21+148x^24+224x^27+282x^30+390x^33+17496x^34+492x^36+348x^39+162x^42+66x^45+28x^48+2x^51
The gray image is a code over GF(3) with n=153, k=9 and d=63.
This code was found by Heurico 1.16 in 0.368 seconds.