The generator matrix

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

generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+29x^24+8x^25+94x^26+36x^27+174x^28+94x^29+262x^30+256x^31+466x^32+494x^33+1642x^34+712x^35+3443x^36+876x^37+3453x^38+768x^39+1702x^40+452x^41+519x^42+244x^43+260x^44+118x^45+136x^46+32x^47+55x^48+6x^49+32x^50+11x^52+5x^54+3x^56+1x^58

The gray image is a linear code over GF(2) with n=148, k=14 and d=48.
This code was found by Heurico 1.16 in 7.77 seconds.