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

generates a code of length 49 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+24x^45+31x^46+36x^47+226x^48+404x^49+226x^50+20x^51+20x^52+20x^53+7x^54+8x^55+1x^96

The gray image is a code over GF(2) with n=392, k=10 and d=180.
This code was found by Heurico 1.16 in 0.078 seconds.