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  X  0  X  0  X  X  X  X  X  2  X  X  X  2  X  2  X  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  X  0  X  0  X  2  X  0  X  2  X  X  X  X  X  X  X  X  X  X
 0  X  0 X+2  0 X+2  0  X  0 X+2  0  X  0 X+2  0  X  2 X+2  2  X  2 X+2  2  X  2 X+2  2  X  2 X+2  2  X X+2  X X+2  X X+2  X X+2  X  0  2  0  2  X  X  0  2  X  X  X  X  X  X  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2 X+2  X X+2  X X+2  X  X  X X+2  X  X  X  0  0  2  2  0  0  2  0  2  X
 0  0  2  0  0  0  2  0  0  2  0  2  2  2  2  2  2  0  2  0  2  0  2  0  0  2  0  2  0  2  0  2  0  0  0  0  2  2  2  2  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  0  0
 0  0  0  2  0  0  0  2  2  2  2  2  2  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  0  2  2  2  2  0  0  0  0  2  2  2  0  0  2  0  0  0  2  2  2
 0  0  0  0  2  2  2  2  2  0  0  2  0  2  2  0  0  0  2  2  2  2  0  0  0  2  2  0  2  0  0  2  0  2  2  0  0  2  2  0  2  2  0  0  2  0  2  2  0  2  2  0  0  2  0  2  2  0  2  0  0  2  0  2  2  0  2  0  0  2  2  0  0  2  2  0  0  2  0  2  2  0  2  0  0  2  2  0  0  0  0  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+37x^90+64x^91+54x^92+64x^93+24x^94+7x^96+2x^106+2x^108+1x^122

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 0.595 seconds.