The generator matrix

 1  0  1  1  1  X  1  1  X  1  1  0  1  1  1  1 X^2 X^2+X  1  1  1  1  0 X^2 X^2  X  0  X  X  X
 0  1  1  X X+1  1  0  1  1  X X+1  1 X^2 X^2+X X^2+1 X^2+X+1  1  1 X^2 X^2+X X^2+1 X^2+X+1  X  X  1  0  X  0 X^2 X^2
 0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0

generates a code of length 30 over Z2[X]/(X^3) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+28x^29+80x^30+15x^32+4x^37

The gray image is a linear code over GF(2) with n=120, k=7 and d=58.
This code was found by Heurico 1.11 in 0.032 seconds.