The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  2  1  0  1  X  1  1  1 X+2  1  1  1  2  X  1  2  2  1  1  2  X  1  1  1  1  1  1  1  1  1  2  X
 0  1  1  0 X+3  1 X+1 X+2  1  2  1 X+3 X+3  0  1  X  1  3  1  3 X+2  0  1  3 X+2  2  1  1 X+1  1  1 X+3 X+3  1  1  3  2 X+3  2  3  0  X X+3  X  1  2
 0  0  X  0 X+2  0  2  2  X X+2 X+2  0  X  X  0  2 X+2  0 X+2  X X+2  X  2  0 X+2  X X+2  X X+2 X+2 X+2  2  2  0  2  X X+2  2  2  X  0 X+2  0 X+2 X+2  X
 0  0  0  X  0  0  0  2  2  2  2  X  X  X  X  X  X  X X+2  X X+2 X+2 X+2  0  2  0  X  0  X  X  X X+2  2 X+2  X X+2  2  0  0  0  2  X  X  X  2  2
 0  0  0  0  2  0  0  0  2  2  0  0  2  0  0  2  0  2  0  0  2  2  2  2  0  2  2  0  0  2  0  0  2  2  2  2  0  0  2  2  2  2  0  0  0  2
 0  0  0  0  0  2  2  2  0  2  0  2  0  2  0  2  2  2  0  0  0  2  0  2  0  0  0  2  2  2  0  0  2  0  2  2  0  0  0  0  2  2  0  0  2  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+167x^40+136x^41+378x^42+292x^43+519x^44+332x^45+544x^46+360x^47+455x^48+288x^49+306x^50+116x^51+106x^52+12x^53+38x^54+25x^56+12x^58+7x^60+2x^62

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 4.92 seconds.