The generator matrix

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

generates a code of length 94 over Z2[X]/(X^4) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+211x^88+1022x^89+1298x^90+1688x^91+1622x^92+2082x^93+1667x^94+1714x^95+1376x^96+1236x^97+887x^98+650x^99+297x^100+272x^101+140x^102+108x^103+40x^104+42x^105+6x^106+14x^107+1x^108+2x^109+1x^110+2x^111+4x^112+1x^114

The gray image is a linear code over GF(2) with n=752, k=14 and d=352.
This code was found by Heurico 1.16 in 7.64 seconds.