The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+56x^41+271x^42+342x^43+424x^44+346x^45+532x^46+384x^47+456x^48+310x^49+298x^50+230x^51+245x^52+86x^53+46x^54+30x^55+23x^56+2x^57+3x^58+4x^59+3x^60+2x^62+2x^63

The gray image is a code over GF(2) with n=188, k=12 and d=82.
This code was found by Heurico 1.16 in 0.514 seconds.