The generator matrix

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

generates a code of length 42 over Z2[X]/(X^4) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+172x^37+677x^38+1522x^39+2041x^40+2574x^41+2505x^42+2836x^43+1880x^44+1170x^45+606x^46+246x^47+76x^48+50x^49+17x^50+4x^51+2x^52+3x^54+2x^61

The gray image is a linear code over GF(2) with n=336, k=14 and d=148.
This code was found by Heurico 1.16 in 3.3 seconds.