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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+48x^89+88x^90+68x^91+62x^92+52x^93+32x^94+48x^95+38x^96+16x^97+16x^98+12x^99+6x^100+12x^101+8x^102+4x^104+1x^128

The gray image is a code over GF(2) with n=372, k=9 and d=178.
This code was found by Heurico 1.16 in 0.485 seconds.