The generator matrix

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

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+35x^30+132x^31+218x^32+314x^33+565x^34+756x^35+1008x^36+1180x^37+1511x^38+1862x^39+2116x^40+2524x^41+2660x^42+2704x^43+2718x^44+2664x^45+2280x^46+1952x^47+1604x^48+1186x^49+941x^50+676x^51+444x^52+300x^53+171x^54+102x^55+76x^56+24x^57+26x^58+8x^59+6x^60+3x^62+1x^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 67.8 seconds.