The generator matrix
1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X X 1 X X^2 1 0 X X^2 X^3 1 X^2 X X X^2 1
0 X^3+X^2 X^3 X^2 0 X^3+X^2 X^3 X^2 0 X^3+X^2 X^3 X^3+X^2 X^2 X^2 0 X^3 0 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^2 X^2 X^2 X^2 X^2 X^3 0 X^3 0 0
generates a code of length 31 over Z2[X]/(X^4) who´s minimum homogenous weight is 30.
Homogenous weight enumerator: w(x)=1x^0+2x^30+44x^31+3x^32+12x^33+2x^34
The gray image is a linear code over GF(2) with n=248, k=6 and d=120.
This code was found by Heurico 1.16 in 6.87e-008 seconds.