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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+80x^90+100x^92+48x^94+22x^96+4x^100+1x^128

The gray image is a code over GF(2) with n=368, k=8 and d=180.
This code was found by Heurico 1.16 in 0.59 seconds.