The generator matrix

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

generates a code of length 99 over Z2[X]/(X^4) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+132x^90+916x^91+2589x^92+3914x^93+6603x^94+7762x^95+10811x^96+11676x^97+14747x^98+13274x^99+14514x^100+12148x^101+11373x^102+7298x^103+5652x^104+3400x^105+2231x^106+972x^107+520x^108+274x^109+152x^110+42x^111+22x^112+12x^113+23x^114+6x^115+3x^116+2x^118+2x^119+1x^122

The gray image is a linear code over GF(2) with n=792, k=17 and d=360.
This code was found by Heurico 1.16 in 243 seconds.