The generator matrix

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

generates a code of length 24 over Z2[X]/(X^4) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+144x^18+1288x^19+4307x^20+13350x^21+28642x^22+52212x^23+61673x^24+52828x^25+29068x^26+13306x^27+3885x^28+1086x^29+258x^30+72x^31+22x^32+2x^35

The gray image is a linear code over GF(2) with n=192, k=18 and d=72.
This code was found by Heurico 1.16 in 142 seconds.