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

generates a code of length 49 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+78x^46+100x^47+245x^48+192x^49+238x^50+88x^51+72x^52+2x^54+4x^55+2x^56+1x^58+1x^90

The gray image is a code over GF(2) with n=392, k=10 and d=184.
This code was found by Heurico 1.16 in 0.125 seconds.