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

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+39x^86+82x^87+71x^88+82x^89+60x^90+26x^91+32x^92+36x^93+28x^94+14x^95+14x^96+10x^97+7x^98+6x^99+2x^100+1x^102+1x^130

The gray image is a code over GF(2) with n=360, k=9 and d=172.
This code was found by Heurico 1.16 in 0.429 seconds.