The generator matrix

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

generates a code of length 46 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+140x^36+88x^38+498x^40+768x^42+1673x^44+1872x^46+1688x^48+768x^50+459x^52+88x^54+114x^56+31x^60+3x^64+1x^68

The gray image is a code over GF(2) with n=184, k=13 and d=72.
This code was found by Heurico 1.16 in 3.8 seconds.