The generator matrix

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

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+56x^36+8x^37+57x^38+34x^39+127x^40+124x^41+323x^42+164x^43+611x^44+172x^45+747x^46+216x^47+620x^48+148x^49+295x^50+92x^51+98x^52+60x^53+83x^54+6x^55+19x^56+21x^58+3x^60+9x^62+1x^64+1x^66

The gray image is a code over GF(2) with n=184, k=12 and d=72.
This code was found by Heurico 1.16 in 0.875 seconds.