The generator matrix

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

generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+62x^30+277x^32+552x^34+48x^35+1032x^36+416x^37+1735x^38+976x^39+2413x^40+1216x^41+2512x^42+976x^43+1874x^44+416x^45+1040x^46+48x^47+461x^48+220x^50+77x^52+19x^54+7x^56+4x^58+1x^64+1x^68

The gray image is a linear code over GF(2) with n=164, k=14 and d=60.
This code was found by Heurico 1.16 in 9.91 seconds.