The generator matrix

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

generates a code of length 46 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+113x^40+762x^41+1626x^42+2822x^43+3469x^44+5062x^45+5393x^46+4850x^47+3587x^48+2706x^49+1251x^50+720x^51+247x^52+78x^53+39x^54+22x^55+13x^56+3x^58+2x^59+2x^60

The gray image is a code over GF(2) with n=368, k=15 and d=160.
This code was found by Heurico 1.16 in 6.53 seconds.