The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  1  X  1  1 X^2  1  1  1  X  1  1  X  0  1  1  1  0  1  1  X
 0  1  1 X^2+X X^2+X+1  1  0 X+1  1  X X^2+1  1 X+1 X^2+X  1 X^2+1  0  0  1 X+1 X^2+1  1  1  X  1 X^2  0 X^2+1 X^2  0
 0  0  X  0 X^2+X  0 X^2+X X^2 X^2+X X^2+X  0 X^2+X X^2  0  X  0 X^2  0  X X^2 X^2 X^2+X X^2  X X^2+X  X  X X^2 X^2+X  0
 0  0  0 X^2  0  0  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2 X^2  0  0 X^2  0
 0  0  0  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2
 0  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  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+106x^24+68x^25+269x^26+312x^27+439x^28+636x^29+476x^30+656x^31+386x^32+316x^33+245x^34+56x^35+85x^36+4x^37+31x^38+7x^40+2x^42+1x^46

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 0.317 seconds.