The generator matrix

 1  0  1  1  1  1  1 X+6  1  1  1 2X  1  1  1  1
 0  1 2X+7  8 X+6 X+1 X+5  1 2X  7 2X+8  1  0  0  0  0
 0  0  6  0  0  0  6  6  0  3  3  3  0  3  0  0
 0  0  0  3  0  0  6  6  3  6  0  6  3  6  0  0
 0  0  0  0  6  0  3  6  3  0  6  3  6  6  0  3
 0  0  0  0  0  3  6  0  6  6  6  3  6  6  3  0

generates a code of length 16 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+32x^21+18x^22+138x^24+180x^25+162x^26+308x^27+720x^28+972x^29+16518x^30+1440x^31+1944x^32+32628x^33+1440x^34+1296x^35+468x^36+576x^37+186x^39+12x^42+6x^45+4x^48

The gray image is a code over GF(3) with n=144, k=10 and d=63.
This code was found by Heurico 1.16 in 1.19 seconds.