The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+208x^39+472x^40+1150x^41+1608x^42+2070x^43+2553x^44+3002x^45+3223x^46+3862x^47+3417x^48+3364x^49+2744x^50+2076x^51+1333x^52+844x^53+401x^54+238x^55+92x^56+70x^57+22x^58+10x^59+4x^60+2x^61+2x^62

The gray image is a code over GF(2) with n=188, k=15 and d=78.
This code was found by Heurico 1.13 in 10.6 seconds.