The generator matrix

 1  0  0  0  0  0  0  1  1  1  1  X  1  1  0  X  1  1  1  0  X  1  1  1  0  1  X  0  1  1  X  1  1  X  X  1  1  1  X  1  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  1 X+1 X+1  1  1 X+1  1  1 X+1  1  1  1 X+1  1  1 X+1  X  0  1  X  0
 0  0  1  0  0  0  0  0  0  0  0  0  1 X+1  1  0  X  1  X  1  1  X  0 X+1  1 X+1 X+1  0  X X+1  0 X+1  X  1  X X+1 X+1 X+1  1  0  0
 0  0  0  1  0  0  0  0 X+1  X  1  1  X  1  1  X  1  0  X  X  1  1  0  1  X X+1  0 X+1  0  0 X+1 X+1  0  1  0  1  1  0  0 X+1  0
 0  0  0  0  1  0  0  X  1 X+1  X X+1  0  0  X  1  1  X  X  1  1 X+1  X X+1  X  X X+1  1 X+1  1  X X+1  0  X  X  1 X+1 X+1 X+1 X+1  0
 0  0  0  0  0  1  0 X+1  X  1  1 X+1 X+1  0  1  1  1 X+1  0  1  X  0  1  1 X+1  X  1 X+1 X+1  X  0 X+1  X  1  0  1 X+1  X  0  1  0
 0  0  0  0  0  0  1  1 X+1  0  X X+1  X  X  0  X  1 X+1  1 X+1  0  0  0  0  X  1 X+1  1 X+1  X X+1  X  X  X  1  1 X+1 X+1  X X+1  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+110x^30+136x^31+300x^32+334x^33+562x^34+668x^35+742x^36+1012x^37+1099x^38+1194x^39+1269x^40+1382x^41+1254x^42+1364x^43+1104x^44+1054x^45+905x^46+622x^47+463x^48+288x^49+262x^50+102x^51+74x^52+22x^53+29x^54+8x^55+15x^56+4x^57+2x^58+2x^59+1x^62

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 37.6 seconds.