The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0  1  1  1  1  1  1  X  0 X+2  2  1  1  1  1  X  0  1  1  2  1  1  1  1  X  0  X  1  1  X  0  2
 0  1  1 X+2 X+3  1  0 X+1  1  X  1  3  1  0  1  X X+3  2  1 X+3  X  1  1  1  1 X+3 X+2 X+2  3  1  1  0 X+1  1  1  2  3  1  1  1 X+2  2  2  X  X  X
 0  0  X  0 X+2  0 X+2  2  X  X X+2  0  X  0  2 X+2  2 X+2  2  X  2 X+2 X+2  0 X+2 X+2  2  0  0 X+2  0  0  2  X  X  X  2  0 X+2  2  X  0 X+2 X+2  X X+2
 0  0  0  2  0  0  0  2  2  0  0  0  0  2  2  2  2  2  0  0  0  2  0  2  0  0  0  2  0  2  0  2  2  2  2  2  2  2  0  0  0  0  2  0  0  0
 0  0  0  0  2  0  0  0  0  0  2  2  0  2  0  2  0  2  2  2  2  2  0  0  0  0  0  0  2  2  0  2  2  0  2  0  2  0  0  2  0  2  0  2  0  2
 0  0  0  0  0  2  0  0  0  2  0  2  0  0  2  2  0  0  2  0  0  2  2  0  2  2  2  2  0  0  0  2  0  2  2  0  2  2  2  2  0  0  2  0  0  0
 0  0  0  0  0  0  2  0  2  0  0  0  2  0  0  0  2  2  2  2  0  0  2  2  0  2  0  2  0  2  2  0  2  2  0  0  0  2  0  2  2  2  2  0  0  0

generates a code of length 46 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+269x^40+540x^42+917x^44+774x^46+846x^48+422x^50+236x^52+50x^54+27x^56+6x^58+7x^60+1x^64

The gray image is a code over GF(2) with n=184, k=12 and d=80.
This code was found by Heurico 1.16 in 32.9 seconds.