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  X  1  1  1  1  1  1  1  1  1  X  X  X  X  X  1  X  1  1  0  1  1  1  1  1  X  X  1  X  1  1  1  1  1  X  1  0  1  0  1  1  X  X  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  0  X  X  X  0  X  X  0  0  X  0  0  X  X  0  X  X  X  X  0  0  X  X  0  X  X  X  X  0  0  0  X  X  0  0  X  X  0  X  X  X  X  X  X  X  X  0  0  0  X  X  X  0  0  0  0  X  0  X  X  0  0  0  0  0  0  X  X
 0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  X  0  X  0  0  X  X  X  0  0  X  0  X  X  X  0  0  X  X  0  0  0  0  X  X  0  0  0  X  0  0  X  X  0  0  0  X  0  0  X  0  X  X  0  X  0  X  X  0  0  X  X  X  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  X  X  0  0  X  X  X  X  X  X  0  X  0  X  X  0  X  0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  0  X  X  0  X  0  X  X  0  0  X  X  X  0  0  0  0  0  0  X  X  0  X  0  0  X  0  X  0  X  X  X  0  0  0  0  0  0  X  0
 0  0  0  0  X  0  0  0  0  0  0  X  0  X  X  0  X  X  X  0  X  0  X  0  X  0  0  X  0  X  0  0  0  0  0  X  X  0  0  X  0  0  0  X  X  X  X  0  0  X  0  X  X  X  0  X  X  X  X  0  X  0  X  X  0  X  0  X  0  0  X  0  X  X  0  X  X  X  0  X  X  X  X  0  X  0  0  X  0  X  0  X
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  X  X  0  0  X  X  0  0  0  X  0  0  0  X  X  0  X  X  0  X  X  X  X  0  X  0  X  0  X  0  X  X  0  0  X  X  X  X  0  0  X  0  0  0  0  X  X  X  X  X  X  X  0  X  X  0  X  0  X  X  X  X  X  X  X  0  X  X  0  X  X  X  0  X  X
 0  0  0  0  0  0  X  0  0  0  X  0  0  0  X  X  0  0  X  0  0  X  X  0  X  X  X  0  X  X  X  0  0  0  0  X  X  0  X  0  X  0  0  X  X  X  0  X  0  X  X  0  X  0  X  0  X  0  0  X  X  0  0  X  0  X  X  X  X  X  X  0  0  X  0  X  X  0  X  0  0  X  0  0  X  0  0  0  0  0  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  0  X  0  0  X  0  0  X  0  X  X  X  0  X  0  X  X  X  0  X  X  0  X  0  0  X  0  X  X  0  0  0  0  X  X  X  0  X  X  0  0  0  X  0  X  0  X  0  X  0  X  0  0  X  0  X  0  0  0  0  X  X  X  0  0  0  X  0  0  X  X  0  0  X  X  0  0  0  X  X
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  0  0  X  0  0  0  0  X  X  0  0  X  X  0  X  0  X  0  0  X  0  0  X  X  X  0  0  X  X  0  0  X  X  X  0  X  0  0  X  0  0  X  0  0  0  X  X  X  0  X  0  X  X  X  X  X  X  0  0  X  X  0  X  X  X  X  X  X  X  X  0  0  X  X  X  X
 0  0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  X  X  X  0  X  X  X  X  0  X  0  X  X  X  0  X  0  X  0  X  0  0  X  X  0  X  X  X  X  0  0  X  X  0  0  X  0  0  X  X  X  X  X  0  0  X  X  X  0  0  X  0  X  0  X  X  X  X  X  0  X  X  X  0  X  0  X  X  0  X  0  X  0  0  0

generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+142x^80+6x^82+217x^84+62x^86+304x^88+212x^90+292x^92+148x^94+264x^96+70x^98+140x^100+14x^102+103x^104+48x^108+17x^112+7x^116+1x^152

The gray image is a linear code over GF(2) with n=184, k=11 and d=80.
This code was found by Heurico 1.16 in 19.7 seconds.