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

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

Homogenous weight enumerator: w(x)=1x^0+30x^45+38x^46+48x^47+90x^48+616x^49+96x^50+44x^51+19x^52+26x^53+10x^54+4x^55+1x^56+1x^92

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 0.11 seconds.