The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X 1 1 X X X X 1 X 1 1 1
0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X 0 X X 0 X X X 0 0 0 X X 0 0 X 0 X
0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 X 0 0 X 0 0 X X X X X X 0 X 0 X X X 0 X
0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 0 X X 0 X 0 0 X X 0 X X 0 0 X 0 X X X X X X
0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X X 0 0 0 X 0 0 0 0 X 0 0 X X X X X X 0 X 0
0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X X 0 X 0 0 X X 0 X 0 0 0 0 0 X 0 0 X 0 0 X
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 X 0 0 X 0 X 0 0 0 X X X X X X X 0 X 0 X
0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 0 X X 0 X 0 X X X 0 X 0 0 X 0 X X 0 0 0
0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X X X 0 0 X 0 X X X X X 0 0 X X 0 0 0 X
0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 X X 0 X X X 0 0 X 0 X X 0 X X 0 0 X 0 X
0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X 0 X 0 X 0
generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+148x^36+305x^40+64x^42+608x^44+448x^46+938x^48+448x^50+656x^52+64x^54+267x^56+120x^60+24x^64+4x^68+1x^80
The gray image is a linear code over GF(2) with n=96, k=12 and d=36.
This code was found by Heurico 1.16 in 2.52 seconds.