The generator matrix

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

generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+22x^30+78x^31+98x^32+380x^33+174x^34+694x^35+233x^36+788x^37+230x^38+688x^39+150x^40+356x^41+70x^42+72x^43+22x^44+12x^45+12x^46+2x^47+7x^48+4x^50+2x^51+1x^52

The gray image is a linear code over GF(2) with n=148, k=12 and d=60.
This code was found by Heurico 1.16 in 0.412 seconds.