The generator matrix

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

generates a code of length 46 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+76x^38+304x^39+424x^40+802x^41+969x^42+1408x^43+1320x^44+2076x^45+1581x^46+2144x^47+1443x^48+1476x^49+858x^50+692x^51+358x^52+236x^53+86x^54+56x^55+36x^56+18x^57+13x^58+4x^59+2x^60+1x^62

The gray image is a code over GF(2) with n=184, k=14 and d=76.
This code was found by Heurico 1.16 in 7.87 seconds.