The generator matrix

 1  0  0  0  1  1  1  1 X^3+X  1 X^2  1 X^2 X^3+X  1  1 X^2+X  1  X  1 X^3  1  0  0  1  1  1  X  1  1  1
 0  1  0  0  0 X^3 X^2+1 X^3+X+1  1 X^3+1 X^3+X^2+X X^3+X^2+X+1  1  1 X^3+X^2+X X^2+X+1 X^3+X^2+X  X X^2 X^3+1  1 X^2+1  1  1 X^2+X+1 X^3+X  1  1 X^2+X+1  1 X^3
 0  0  1  0  1 X^3+X^2+X X^2  X  X  1  1 X^3+X+1 X^3+X+1 X^3+X^2+X+1 X^3+X^2+1 X^3+X+1  1 X^3+X X^2  0 X^3+X X^2+X+1 X^3  1 X^2+X X^3+X^2+X+1 X^3+X  X X^2+1 X^3+X^2+1  0
 0  0  0  1  1 X+1 X^2+X+1 X^3 X+1  X X^3+X+1 X^2+X+1 X^2+X X^3+X^2+1 X^3+X^2 X^3 X^3+X^2+X X^2+X  1 X^3 X^3+X^2+1 X^3+X^2+X+1  X X^3+X^2 X^3+X^2+1 X^3+X+1 X^3+X^2+1 X^2 X^3+X+1 X^2+X+1 X^2
 0  0  0  0 X^3  0  0  0  0  0  0  0  0  0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3  0  0 X^3  0 X^3 X^3  0  0

generates a code of length 31 over Z2[X]/(X^4) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+200x^25+1175x^26+3606x^27+8139x^28+15736x^29+21981x^30+29104x^31+22647x^32+15634x^33+7825x^34+3558x^35+1144x^36+236x^37+59x^38+20x^39+4x^40+2x^41+1x^44

The gray image is a linear code over GF(2) with n=248, k=17 and d=100.
This code was found by Heurico 1.16 in 50.6 seconds.