The generator matrix

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

generates a code of length 52 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+118x^45+262x^46+500x^47+539x^48+840x^49+696x^50+898x^51+714x^52+884x^53+606x^54+766x^55+476x^56+412x^57+202x^58+126x^59+50x^60+46x^61+20x^62+14x^63+8x^64+4x^65+6x^66+4x^68

The gray image is a code over GF(2) with n=208, k=13 and d=90.
This code was found by Heurico 1.16 in 64.6 seconds.