The generator matrix

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

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+67x^30+68x^31+209x^32+306x^33+551x^34+638x^35+950x^36+1190x^37+1488x^38+1896x^39+2195x^40+2590x^41+2596x^42+2918x^43+2777x^44+2598x^45+2385x^46+2036x^47+1534x^48+1262x^49+903x^50+570x^51+440x^52+210x^53+166x^54+64x^55+75x^56+34x^57+30x^58+2x^59+9x^60+2x^61+6x^62+2x^64

The gray image is a linear code over GF(2) with n=86, k=15 and d=30.
This code was found by Heurico 1.16 in 65.8 seconds.