The generator matrix

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

generates a code of length 40 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+271x^30+774x^32+1278x^34+1906x^36+2446x^38+2804x^40+2704x^42+2088x^44+1225x^46+551x^48+250x^50+62x^52+16x^54+6x^56+2x^62

The gray image is a linear code over GF(2) with n=80, k=14 and d=30.
This code was found by Heurico 1.16 in 55 seconds.