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

generates a code of length 49 over Z4[X]/(X^2+2X+2) 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 0.14 seconds.