The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+144x^38+594x^39+1149x^40+1906x^41+2781x^42+3926x^43+4917x^44+6220x^45+7180x^46+7326x^47+7439x^48+6548x^49+5440x^50+3942x^51+2662x^52+1664x^53+762x^54+504x^55+211x^56+106x^57+75x^58+28x^59+5x^60+4x^61+2x^62

The gray image is a code over GF(2) with n=188, k=16 and d=76.
This code was found by Heurico 1.13 in 39.7 seconds.