The generator matrix

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

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+60x^88+300x^89+315x^90+242x^91+308x^92+218x^93+229x^94+256x^95+69x^96+26x^97+8x^98+6x^99+4x^101+4x^103+1x^128+1x^140

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 2 seconds.