The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  0  X  0 X+2  0  2  1  1  X  1  0  1  1  X  X  1  1  1 X+2 X+2  1  1  1  1  1  1  1  1  1  1  1  2  1  1
 0  1  0  0  1  2  3  1  0  1  X X+1  1  1  2  1  1  1  3 X+1  2 X+2 X+2  2  X  1 X+2  3 X+1 X+3  1  1  0 X+1  X  X  X  3  0 X+2 X+3 X+3  3  1  3  0
 0  0  1  0  1  3  2  3  X X+1 X+3  0  1  0  1  2 X+3  X X+3 X+2  0  3  1  2  X X+2  1 X+2 X+3 X+2 X+2 X+1 X+1 X+1 X+1  0  2 X+1  X  0  2  0  3  3 X+1  0
 0  0  0  1  2  1  3  3 X+1  3  0  X  X X+1 X+1  3  2  X X+3  1  1  2 X+3 X+3 X+2  X X+2  0 X+2 X+3  2 X+2 X+3  0 X+3  2 X+2 X+2  3  1  0  3 X+1 X+3  1  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+62x^40+234x^41+334x^42+472x^43+447x^44+470x^45+393x^46+414x^47+285x^48+294x^49+203x^50+174x^51+155x^52+90x^53+35x^54+26x^55+2x^56+3x^58+2x^59

The gray image is a code over GF(2) with n=184, k=12 and d=80.
This code was found by Heurico 1.11 in 0.217 seconds.