The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^3+X^2  1  1 X^3+X  1  1  0  1  1 X^2+X  1  1  0  1  1 X^3+X^2  1  1 X^3+X X^3+X^2  1  1
 0  1 X+1 X^2+X X^2+1  1 X^3+X^2 X^3+X^2+X+1  1 X^3+X X^3+1  1  0 X+1  1 X^2+X X^2+1  1  0 X+1  1 X^3+X^2 X^3+X^2+X+1  1 X^3+1 X^3+X^2  1  1 X+1 X+1
 0  0 X^3  0  0  0  0 X^3  0 X^3 X^3 X^3  0  0  0 X^3 X^3 X^3  0  0  0 X^3 X^3 X^3 X^3  0  0  0 X^3  0
 0  0  0 X^3  0  0 X^3 X^3  0 X^3  0 X^3  0 X^3 X^3 X^3  0  0 X^3  0 X^3  0 X^3  0 X^3  0  0 X^3 X^3  0
 0  0  0  0 X^3  0 X^3  0 X^3 X^3 X^3 X^3  0 X^3  0  0 X^3  0 X^3 X^3 X^3 X^3 X^3 X^3  0 X^3 X^3  0  0  0
 0  0  0  0  0 X^3  0 X^3 X^3 X^3  0 X^3 X^3  0 X^3  0 X^3  0 X^3 X^3  0  0  0 X^3 X^3 X^3 X^3  0  0 X^3

generates a code of length 30 over Z2[X]/(X^4) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+24x^25+74x^26+248x^27+547x^28+688x^29+945x^30+688x^31+534x^32+248x^33+65x^34+24x^35+1x^36+3x^38+5x^40+1x^42

The gray image is a linear code over GF(2) with n=240, k=12 and d=100.
This code was found by Heurico 1.16 in 0.109 seconds.