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

generates a code of length 52 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+17x^48+10x^50+32x^51+136x^52+32x^53+15x^54+6x^56+6x^58+1x^102

The gray image is a code over GF(2) with n=208, k=8 and d=96.
This code was found by Heurico 1.16 in 0.054 seconds.