The generator matrix

 1  0  0  0  1  1  1  1  0  1  1  X  1  X  X  0  1  1  1  1  1  X  X  X  0  1  0  X  X  0  X  1  1
 0  1  0  0  1  0  0  1  1  0  1  1  1  1  0  0  0  X  1  X  1  1  1  0  1  0  1  1  1  0  1  0  0
 0  0  1  0  1  0  1  0  1  1  1  0  0  1  1  0  X  0  0  1  1 X+1  0  1 X+1  1  X  0 X+1  1  0  0  0
 0  0  0  1  1  1  0  0  1  1  0  1 X+1  X X+1  1  X  1  1  0  0  X X+1  X X+1 X+1  X  1 X+1  0  1  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  X  0  X  X  0  0  X  0  X  X  0  X  0  X  X  0  0  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  X  0  0  X  0  0  X  X  0  0  X  X  X  0  X  X  X  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  X  X  0  X  X  X  0  0  X  0  X  X  0  0  0  0  X  0  0  0  0
 0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  X  0  0  0  0  0  X  0  0  X  0  X  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  0  0  X  X  X  X  X  0  X  0  0  X  X  X  X  X  X  0  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  X  X  0  X  0  0  X  X  0  X  0  X  0  0  0  X  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  0  X  0  X  X  0  0  X  X  X  0  0  0  0  0

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+82x^20+42x^21+169x^22+180x^23+445x^24+568x^25+849x^26+1102x^27+1568x^28+2046x^29+2294x^30+2698x^31+2826x^32+3056x^33+2768x^34+2812x^35+2215x^36+1942x^37+1589x^38+1208x^39+892x^40+504x^41+457x^42+182x^43+150x^44+34x^45+60x^46+10x^47+11x^48+6x^50+1x^52+1x^56

The gray image is a linear code over GF(2) with n=66, k=15 and d=20.
This code was found by Heurico 1.16 in 33.8 seconds.