The generator matrix

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

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+56x^14+392x^16+894x^18+1930x^20+3072x^22+3672x^24+3060x^26+2016x^28+904x^30+287x^32+78x^34+22x^36

The gray image is a linear code over GF(2) with n=48, k=14 and d=14.
This code was found by an older version of Heurico in 0 seconds.