The generator matrix

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

generates a code of length 18 over Z2[X]/(X^4) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+58x^15+250x^16+466x^17+578x^18+392x^19+197x^20+66x^21+29x^22+10x^23+1x^26

The gray image is a linear code over GF(2) with n=144, k=11 and d=60.
This code was found by Heurico 1.16 in 0.094 seconds.