The generator matrix

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

generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+55x^40+153x^42+303x^44+535x^46+803x^48+1059x^50+1157x^52+72x^53+1211x^54+204x^55+1129x^56+376x^57+796x^58+764x^59+489x^60+1334x^61+274x^62+1870x^63+136x^64+2290x^65+66x^66+2498x^67+84x^68+2366x^69+161x^70+1922x^71+322x^72+1292x^73+527x^74+736x^75+798x^76+402x^77+991x^78+178x^79+1154x^80+58x^81+1298x^82+18x^83+1060x^84+2x^85+802x^86+2x^87+530x^88+254x^90+154x^92+58x^94+14x^96+7x^98+3x^100

The gray image is a linear code over GF(2) with n=134, k=15 and d=40.
This code was found by Heurico 1.16 in 99.3 seconds.