The generator matrix

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

generates a code of length 92 over Z2[X]/(X^4) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+97x^88+360x^89+167x^90+376x^91+142x^92+368x^93+126x^94+240x^95+77x^96+50x^97+26x^98+8x^99+4x^101+2x^104+2x^105+1x^128+1x^130

The gray image is a linear code over GF(2) with n=736, k=11 and d=352.
This code was found by Heurico 1.16 in 0.984 seconds.