The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0 X+2  1  1  1  X  1  1 X+2  1  2  1  1  0  1  1  1  2  1  2  1  1  1  1  1  2  2  2  1  1  X  1  X
 0  1  1  0 X+3  1  X X+1  1  3  1 X+2 X+3  0  1  1 X+2  1  2  1  3  X  1 X+1  1  X X+1  1  X  1  X  1  3  1  2  3 X+1  X  2  1  X  1  1 X+2  X X+3  1
 0  0  X  0 X+2  0  0  X  0 X+2  0  0  2  X  X X+2  X  0  X X+2  2  2 X+2  2 X+2 X+2  X  0  X X+2 X+2 X+2  X X+2 X+2 X+2 X+2  0  2  2  2  0 X+2  2  X  2 X+2
 0  0  0  X  0  0  X  X  X  X X+2  2 X+2  X  X  X  X X+2  0  0  2  X  X  0  2  2  X  2  2  2  0  0 X+2  0  2  0  X  2  2  0 X+2  2  0  X  X  2  0
 0  0  0  0  2  0  0  0  0  0  2  2  0  2  0  2  2  2  2  0  0  2  0  0  2  0  0  0  0  0  2  0  0  2  2  0  2  2  2  0  2  2  0  2  0  2  0
 0  0  0  0  0  2  0  0  2  2  2  0  0  0  2  0  2  0  2  2  2  0  2  0  0  2  2  0  0  0  0  2  0  0  2  0  2  0  2  2  0  0  2  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  0  2  2  0  2  0  2  0  2  2  2  2  2  0
 0  0  0  0  0  0  0  2  2  2  2  0  2  2  2  2  2  2  2  2  2  2  0  0  0  0  0  0  2  2  0  2  0  2  2  0  0  2  2  0  0  0  0  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+151x^38+32x^39+453x^40+204x^41+817x^42+744x^43+1590x^44+1240x^45+2120x^46+1640x^47+2124x^48+1392x^49+1600x^50+632x^51+812x^52+232x^53+379x^54+24x^55+133x^56+4x^57+45x^58+6x^60+6x^62+1x^64+2x^66

The gray image is a code over GF(2) with n=188, k=14 and d=76.
This code was found by Heurico 1.16 in 9.5 seconds.