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  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  X  1  1  1
 0 X^3+X^2  0  0  0 X^2 X^3+X^2 X^2  0  0  0  0 X^2 X^3+X^2 X^2 X^3+X^2  0 X^3 X^3+X^2 X^2 X^3 X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^3  0 X^3+X^2  0 X^3+X^2 X^2 X^3+X^2 X^3 X^3+X^2 X^2  0  0 X^3 X^2 X^3 X^2  0 X^3+X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^3 X^2 X^3 X^2 X^3+X^2  0 X^3+X^2  0  0 X^2 X^2 X^3 X^3  0 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^2 X^2 X^3+X^2  0 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^3+X^2  0  0 X^3 X^2  0  0 X^3 X^3+X^2  0 X^3 X^3 X^3 X^3 X^3+X^2  0  0 X^3 X^3
 0  0 X^3+X^2  0 X^2 X^2 X^3+X^2  0 X^2  0  0 X^3+X^2 X^2 X^3+X^2  0  0 X^3  0 X^3+X^2 X^3 X^2  0 X^2 X^2 X^3 X^2 X^3+X^2 X^2 X^3  0 X^2 X^3 X^2 X^3+X^2 X^3 X^2 X^3+X^2  0  0 X^3 X^3+X^2 X^2 X^3  0 X^3+X^2 X^2 X^3 X^3  0 X^3  0 X^3+X^2  0 X^3 X^3+X^2 X^3 X^2 X^3 X^2 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^3 X^2  0 X^3+X^2  0 X^2  0 X^3 X^2  0 X^3+X^2 X^2  0 X^3 X^3+X^2 X^2 X^3+X^2 X^3+X^2 X^3 X^3 X^3 X^3+X^2 X^3 X^3  0 X^3+X^2 X^3 X^3  0 X^3  0
 0  0  0 X^3+X^2 X^2  0 X^3+X^2 X^2 X^2  0 X^3+X^2  0  0 X^3+X^2 X^3+X^2 X^3 X^3 X^2  0 X^2 X^3 X^3 X^2 X^2 X^2  0 X^2  0 X^3+X^2 X^3 X^2  0 X^3+X^2  0 X^2 X^3 X^3+X^2 X^2  0 X^3 X^3 X^3+X^2  0 X^3 X^3 X^3+X^2 X^2 X^2 X^2 X^3+X^2  0 X^3 X^3+X^2  0 X^2 X^2 X^3+X^2  0 X^2 X^3 X^3+X^2 X^3 X^3  0 X^3  0 X^3  0 X^3 X^3  0  0 X^2 X^3+X^2  0 X^2 X^3+X^2 X^2 X^2 X^3+X^2 X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^3  0 X^3  0  0 X^2 X^2  0 X^3+X^2
 0  0  0  0 X^3  0  0  0  0 X^3 X^3 X^3 X^3 X^3 X^3 X^3  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 X^3 X^3 X^3  0 X^3  0 X^3  0 X^3 X^3  0  0 X^3  0  0 X^3  0 X^3  0 X^3  0 X^3  0  0  0  0 X^3 X^3  0 X^3 X^3  0 X^3 X^3  0  0  0  0  0  0  0 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 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+20x^88+46x^89+66x^90+48x^91+56x^92+168x^93+1250x^94+174x^95+75x^96+30x^97+34x^98+28x^99+24x^100+12x^101+9x^102+6x^103+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 1.16 seconds.