The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^46+12x^48+2x^52+1x^56

The gray image is a code over GF(2) with n=368, k=6 and d=184.
This code was found by Heurico 1.16 in 0.047 seconds.