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

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+40x^82+66x^83+101x^84+98x^85+115x^86+184x^87+211x^88+218x^89+144x^90+182x^91+184x^92+128x^93+105x^94+48x^95+49x^96+48x^97+33x^98+22x^99+17x^100+14x^101+8x^102+8x^103+11x^104+6x^105+2x^106+2x^107+2x^108+1x^154

The gray image is a code over GF(2) with n=360, k=11 and d=164.
This code was found by Heurico 1.16 in 0.821 seconds.