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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+43x^88+48x^89+76x^90+96x^91+51x^92+64x^93+40x^94+32x^95+20x^96+16x^97+12x^98+8x^100+4x^104+1x^164

The gray image is a code over GF(2) with n=368, k=9 and d=176.
This code was found by Heurico 1.16 in 0.614 seconds.