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  2  1  1  1  1  1  1  1  0  1  1  1  2  1  1  1  1  X  2  1  X  1  1  1  X  1  1  1  X  1  0  1  1  0  1  1  1  X  2  2  1  X
 0  X  0  0  0  2  0  2  0 X+2  X X+2 X+2  X X+2  X  2 X+2  0  X  0  X  2 X+2  0  X  2  0  2  X  X  X  0  0  X  0  2 X+2 X+2  X X+2  0 X+2  X  2 X+2  0  2  2  X  0  2 X+2  2 X+2 X+2  0  X  X X+2  X  0  0  X  2  0  2  2  X X+2  2  2  2  X  X X+2  0  X  0  X  X X+2  0  0  2 X+2  2  X  0  2 X+2 X+2
 0  0  X  0  0  2 X+2  X X+2  X  X  X X+2  0  0  0  2  2  2  X X+2  2  X  X  0  0 X+2  2  X  X  0 X+2  2  X  2  0 X+2  0  X  0  X  X  2 X+2  2 X+2  0  0  X  X  2  0  0 X+2  X  2 X+2  0  X  2 X+2  0  X  0 X+2  2  2  X  0 X+2 X+2  2  2  X  0  0  X  2  2  X X+2 X+2  0  X  2  2  0  X  2  X  X  0
 0  0  0  X  0  X X+2  X  2  0 X+2  X  0  X  X  2  0  0  X  X  2 X+2 X+2  0  0 X+2 X+2 X+2  0 X+2  0  2  2  2  X X+2 X+2  0 X+2 X+2  0  2  2  2 X+2  X X+2  2 X+2  0  X  X  0  2  X  X  0  X X+2  2 X+2  2  2  2  0 X+2  0 X+2  2  2  0  0 X+2  2 X+2 X+2 X+2 X+2  0  2  2  0  2  2  0 X+2 X+2 X+2  2  2  0  0
 0  0  0  0  X  X  2 X+2  X  X X+2  0  0  2 X+2 X+2 X+2  0  2 X+2 X+2 X+2  0  0  2  0  X X+2  2  2  X X+2  2  0  0  X X+2  X  2 X+2 X+2 X+2  0  2  0  X  0  X  2 X+2 X+2  X  0  0  2  0  0 X+2  2 X+2  X  2 X+2  2  2  2  0 X+2  X  2 X+2  2  X  0  X  2  0  X  X  X X+2  X X+2  0  X X+2 X+2 X+2  X X+2  2  0

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+70x^84+4x^85+188x^86+24x^87+217x^88+72x^89+208x^90+164x^91+261x^92+148x^93+230x^94+64x^95+125x^96+32x^97+96x^98+4x^99+52x^100+32x^102+37x^104+10x^106+4x^108+2x^110+2x^114+1x^156

The gray image is a code over GF(2) with n=368, k=11 and d=168.
This code was found by Heurico 1.16 in 0.867 seconds.