The generator matrix

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

generates a code of length 46 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+59x^42+83x^44+237x^46+70x^48+53x^50+4x^52+3x^54+1x^56+1x^84

The gray image is a code over GF(2) with n=184, k=9 and d=84.
This code was found by Heurico 1.16 in 26.3 seconds.