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

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+44x^89+78x^90+68x^91+62x^92+72x^93+60x^94+32x^95+22x^96+12x^97+16x^98+20x^99+8x^100+4x^102+8x^103+2x^106+2x^108+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 0.64 seconds.