The generator matrix

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

generates a code of length 30 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+70x^24+162x^25+123x^26+570x^27+211x^28+834x^29+247x^30+802x^31+171x^32+518x^33+129x^34+158x^35+49x^36+22x^37+13x^38+6x^39+9x^40+1x^48

The gray image is a linear code over GF(2) with n=120, k=12 and d=48.
This code was found by Heurico 1.16 in 0.247 seconds.