The generator matrix

 1  0  0  0  1  1  1 X^2  1  1  1  0  X  1 X^2+X  1  X  1  1  1  1  1  1 X^2  1 X^2+X X^2  1  1  1
 0  1  0  0  0  1  1  1  X X+1 X^2+X X^2+X  1  1  1  X  1 X^2+1  0 X^2+X X^2 X^2 X^2 X^2 X^2+1  0  1 X^2+X X^2  0
 0  0  1  0  1  0 X^2+1  1  1 X^2+X  X  1 X^2+1 X^2+X+1 X^2 X^2 X^2+X X^2+X+1  0 X^2+1 X^2+X+1 X+1 X^2+1  1 X^2+X  1  1  1  1  0
 0  0  0  1  1 X^2+1 X^2  1 X^2+X  X X^2+1 X^2+X+1  0 X^2+X+1 X^2+X+1  X  1 X^2 X+1 X^2 X^2+1 X+1 X^2+X X+1  X  1 X+1 X+1  X  0
 0  0  0  0 X^2 X^2  0  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0  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+113x^24+254x^25+588x^26+780x^27+831x^28+1040x^29+1030x^30+1010x^31+912x^32+750x^33+458x^34+224x^35+125x^36+36x^37+34x^38+2x^39+2x^40+2x^42

The gray image is a linear code over GF(2) with n=120, k=13 and d=48.
This code was found by Heurico 1.11 in 0.375 seconds.