The generator matrix
1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 0 1 1 1 1 1 X 0 0 1 1 1 1 1 1
0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 X+1 1 X X+1 1 0 X+1 1 0 X+1 1 1 1 1 0 X+1 X 0 0
0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 0 X X X X X 0 0 X X 0 X X 0 X 0 0
0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X 0 X X X X X X X X X 0 0 0 0 0 X 0 0 0 X X
0 0 0 0 X 0 0 0 0 0 X X X X 0 X X X X X 0 X X X 0 X X 0 0 0 0 0 0 0 X 0 X
0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X 0 X 0 0 0 X X X 0 X 0 X X X 0 0 0 X 0 X X
0 0 0 0 0 0 X 0 X X 0 0 X X 0 0 X 0 X 0 X X X X X 0 X 0 0 0 X 0 X 0 0 X X
0 0 0 0 0 0 0 X X 0 X 0 X X X 0 0 X 0 X X X 0 0 X X X X 0 X 0 0 X 0 0 X X
generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.
Homogenous weight enumerator: w(x)=1x^0+46x^30+148x^32+169x^34+166x^36+158x^38+154x^40+122x^42+32x^44+10x^46+9x^48+5x^50+2x^52+2x^54
The gray image is a linear code over GF(2) with n=74, k=10 and d=30.
This code was found by Heurico 1.16 in 0.114 seconds.