The generator matrix

 1  0  1  1  1 X+6  1  1  0  1  1  3  1  1  X 2X
 0  1 2X+7 X+6 X+1  1  0 2X+7  1  3 2X+4  1 2X  7 2X  1
 0  0  6  3  0  3  6  3  6  3  0  3  0  6  6  6

generates a code of length 16 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+234x^29+516x^30+180x^32+1014x^33+234x^35+6x^36+2x^45

The gray image is a code over GF(3) with n=144, k=7 and d=87.
This code was found by Heurico 1.16 in 51.2 seconds.