The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  2  2  X  X  0  X  1  X  X  1  1  0  1  1  1  0  1  2  1  1  X  1  1
 0  X  0  X  0  0  X X+2  0  2  X  0 X+2  2 X+2 X+2  0  2  0 X+2 X+2  0  X  X  X  0  0  X X+2  2  2  X  X  2  0 X+2  0 X+2  0  X  X  2 X+2  0  0  0
 0  0  X  X  0 X+2  X  0  0  X  X  2  2 X+2  X  0  2  X  X  0 X+2  2 X+2 X+2 X+2 X+2 X+2  0  0  0  X  X  2  2  X  0  X  0  X  0 X+2 X+2 X+2 X+2 X+2  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  0  2  2  2  2  2  2  0  0  0  0  2  0  2  2  2  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  0  0  0  2  2  2  0  2  0  0  2  2  2  2  2  0  0  0  2  0  2  0  0  2  0  2  2  0  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  2  2  0  2  2  0  0  2  2  2  2  2  2  0  0  2  2  2  0  0  0  2  0  2  2  2  2  0  0
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  2  2  0  0  2  2  2  0  2  2  0  0  0  0  2  2  0  0  0  2  2  2  2  0  0  2  0  0  0
 0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  2  2  0  2  2  2  0  2  0  0  2  0  0  2  2  2  0  2  2  0  0  0  2  0  2  0  2  2  2  0  0
 0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  2  0  0  2  2  0  2  2  0  0  2  2  2  2  0  2  0  2  2  2  0  2  0  0  2  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+73x^36+60x^37+121x^38+114x^39+257x^40+318x^41+436x^42+644x^43+725x^44+900x^45+898x^46+920x^47+728x^48+664x^49+438x^50+316x^51+223x^52+96x^53+113x^54+54x^55+29x^56+10x^57+28x^58+11x^60+12x^62+1x^64+2x^66

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 3.51 seconds.