The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 a^7*X+1  a a^7*X+a^2 a^3 a^7*X+2 a^5 a^7*X+a^6 a^7  X a^6*X+1 X+a a^6*X+a^2 X+a^3

generates a code of length 15 over F9[X]/(X^2) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+360x^112+720x^113+40x^117+2880x^121+2520x^122+40x^126

The gray image is a linear code over GF(9) with n=135, k=4 and d=112.
This code was found by Heurico 1.16 in 0.00146 seconds.