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  X  1  1  1  0  1  1  X  1
 0  X  0  0  0  X  X  X  0  0  0  0  X  X  X  X  0  0  0  0  X  X  X  X  0  0  0  0  X  X  X  X  2 X+2  2 X+2  2 X+2  2 X+2  2 X+2  2 X+2  2 X+2  2 X+2  2  2 X+2 X+2  2  2 X+2 X+2 X+2  2  2 X+2  2  2 X+2 X+2  0  2  0  0  X  X  X X+2  0  2  2  X  0 X+2  X  0  X  0  2 X+2  0 X+2  X  X  2  0 X+2  2
 0  0  X  0  X  X  X  0  0  0  X  X  X  X  0  0  2  2 X+2 X+2 X+2 X+2  2  2  2  2 X+2 X+2 X+2 X+2  2  2  2 X+2  0  X X+2  2  X  0  2 X+2  0  X X+2  2  X  0  0  X  X  0  2 X+2 X+2  2  X  0  X  0  2 X+2 X+2  2  0  0  X X+2  X  X  0  2  0  X X+2  X  2  0  2 X+2  X  X  2  X  X X+2 X+2  2  2  2  0  X
 0  0  0  X  X  0  X  X  2 X+2 X+2  2  2 X+2 X+2  2  2  X X+2  0  2  X X+2  0  0 X+2  X  2  0 X+2  X  2  0  0  X  X  X  X  0  0  2  2 X+2 X+2 X+2 X+2  2  2  2 X+2  2 X+2 X+2  2  X  2  0  0  X  X  X  0 X+2  0  0  X  X  0  0 X+2  X  2  2  2  X  2  X  2  X X+2  X  2 X+2  X  0 X+2 X+2  0  0  0  0  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+31x^88+32x^89+65x^90+102x^91+77x^92+92x^93+46x^94+24x^95+24x^96+4x^97+8x^98+2x^99+3x^100+1x^178

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 0.465 seconds.