The generator matrix

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

generates a code of length 46 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+24x^45+78x^46+15x^48+8x^49+2x^54

The gray image is a code over GF(2) with n=368, k=7 and d=180.
This code was found by Heurico 1.16 in 0.063 seconds.