The generator matrix

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

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+24x^88+40x^89+40x^90+52x^91+86x^92+424x^93+759x^94+428x^95+55x^96+40x^97+15x^98+28x^99+22x^100+8x^101+16x^102+4x^103+4x^104+1x^106+1x^182

The gray image is a linear code over GF(2) with n=752, k=11 and d=352.
This code was found by Heurico 1.16 in 1.17 seconds.