The generator matrix

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

generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+50x^20+34x^22+22x^23+201x^24+106x^25+198x^26+382x^27+534x^28+962x^29+1089x^30+1644x^31+1922x^32+1972x^33+1982x^34+1644x^35+1206x^36+948x^37+577x^38+382x^39+147x^40+98x^41+154x^42+22x^43+34x^44+10x^45+59x^46+1x^48+2x^50+1x^54

The gray image is a linear code over GF(2) with n=132, k=14 and d=40.
This code was found by Heurico 1.16 in 5.71 seconds.