The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+80x^40+240x^41+514x^42+532x^43+731x^44+672x^45+990x^46+728x^47+1043x^48+704x^49+724x^50+462x^51+348x^52+186x^53+122x^54+36x^55+36x^56+20x^57+16x^58+2x^59+1x^60+2x^61+2x^66

The gray image is a code over GF(2) with n=188, k=13 and d=80.
This code was found by Heurico 1.16 in 2.33 seconds.