The generator matrix

 1  0  0  0  0  0  1  1  1  1  1  1  1  0  1  1  0  0  X  1  1  1  1  X  0  X  X  1  1  1  1  0  0  1  X  1  1  1  0  X  X  1  1  0  1  1  1  1  0  0  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  0  0  0  0  1  0  0 X+1  0  1  X  X  0  1  1  0  X  1  1  0 X+1  1  0  1  1  X  1  X  X  1  1  X  1  X  0  0  1  X  1  X  0  0  1  X  1 X+1  1  X  X X+1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  1  0  0  0  1  0  1  1  0  X  X  X  1  0  X  1  X X+1  1  1  0  0  1  0 X+1  X  0  1  1 X+1  1  0  X  1  0  0  0  0  0 X+1  X  1  X  X X+1 X+1  0  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  1  0  0  1  0  1  0  1  X  1  1 X+1  1  0  1  1 X+1  1  X  X  1  X  X  1 X+1  1 X+1  0  1  1  1  1 X+1 X+1  X  X  1  X  X  0  X  X  X  1  0  1 X+1 X+1 X+1  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  1  0  1  1  0  0  0  1  1  1  1 X+1 X+1  0 X+1  1 X+1 X+1  X  1  1  0  1  X  0  X X+1  1  1  0  X X+1 X+1  1 X+1  X  0  0  0 X+1 X+1 X+1  1 X+1  0  1  1  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  1  1  1  0  1  1  0  0  1 X+1  1  1 X+1  0 X+1 X+1  X X+1  0  X  1  X  1  0 X+1  0  X  1  1  0  0  0  0  1  X  X  1  0  0  0  1  X  0 X+1  1 X+1  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  X  X  X  0  X  0  X  X  0  X  0  X  X  X  X  0  0  X  0  X  0  0  X  X  X  X  0  0  0  X  X  X  X  0  X  0  X  0  0  0  0  X  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  X  0  0  X  X  X  0  X  0  0  0  X  X  X  X  0  0  0  0  X  X  X  X  0  0  X  0  X  X  X  X  X  0  0  0  X  X  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  X  X  0  0  X  X  X  X  X  0  0  X  0  X  0  0  X  0  0  0  X  X  0  0  X  X  0  0  X  0  X  X  X  X  0  X  X  X  X  X  0  X  X  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 39.

Homogenous weight enumerator: w(x)=1x^0+16x^39+43x^40+80x^41+122x^42+130x^43+237x^44+276x^45+306x^46+412x^47+435x^48+540x^49+625x^50+614x^51+600x^52+622x^53+638x^54+624x^55+605x^56+554x^57+552x^58+656x^59+725x^60+782x^61+824x^62+1004x^63+1156x^64+1224x^65+1349x^66+1322x^67+1339x^68+1206x^69+958x^70+1030x^71+999x^72+798x^73+695x^74+590x^75+640x^76+606x^77+536x^78+578x^79+628x^80+612x^81+608x^82+674x^83+622x^84+552x^85+477x^86+390x^87+303x^88+280x^89+180x^90+124x^91+92x^92+52x^93+52x^94+26x^95+22x^96+8x^97+12x^98+2x^99+1x^100+1x^102+1x^106

The gray image is a linear code over GF(2) with n=134, k=15 and d=39.
This code was found by Heurico 1.16 in 98.8 seconds.