The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X X^2  X  1 X^2  1  0  1  0  1  1  X  0  1  X
 0  X  0  0  0  X X^2+X  X  0 X^2 X^2  0  X X^2+X  X X^2+X X^2+X  0 X^2+X X^2+X  0  0 X^2  X  0 X^2+X X^2 X^2  X X^2 X^2  X  0 X^2+X  0 X^2 X^2
 0  0  X  0  X  X X^2+X  0  0  0 X^2+X X^2+X  X  X X^2  0  X  0 X^2 X^2  0 X^2+X X^2+X  X X^2 X^2+X  X X^2  0  X  0 X^2+X X^2 X^2  0 X^2+X X^2+X
 0  0  0  X  X  0 X^2+X  X X^2 X^2+X  X X^2 X^2  X  X X^2  0 X^2 X^2+X X^2+X X^2+X X^2 X^2+X  0  X  X  X X^2  0  0  X  0 X^2 X^2  X  0 X^2+X
 0  0  0  0 X^2  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0
 0  0  0  0  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0  0 X^2  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2
 0  0  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2  0 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+140x^30+300x^32+80x^33+444x^34+256x^35+692x^36+352x^37+655x^38+256x^39+410x^40+80x^41+255x^42+119x^44+41x^46+12x^48+1x^50+1x^52+1x^56

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 0.579 seconds.