The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+440x^42+858x^44+926x^46+720x^48+616x^50+341x^52+150x^54+31x^56+12x^58+1x^60

The gray image is a code over GF(2) with n=188, k=12 and d=84.
This code was found by Heurico 1.16 in 4.38 seconds.