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

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+19x^84+50x^85+44x^86+66x^87+46x^88+274x^89+44x^90+274x^91+42x^92+54x^93+36x^94+38x^95+16x^96+6x^97+4x^98+6x^99+3x^100+1x^176

The gray image is a code over GF(2) with n=360, k=10 and d=168.
This code was found by Heurico 1.16 in 0.646 seconds.