The generator matrix

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

generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+116x^30+120x^31+294x^32+390x^33+593x^34+654x^35+679x^36+902x^37+1083x^38+1270x^39+1247x^40+1438x^41+1447x^42+1300x^43+1046x^44+1076x^45+802x^46+636x^47+473x^48+266x^49+271x^50+94x^51+91x^52+22x^53+39x^54+22x^55+9x^56+2x^57+1x^58

The gray image is a linear code over GF(2) with n=82, k=14 and d=30.
This code was found by Heurico 1.16 in 35.7 seconds.