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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+88x^52+16x^54+178x^56+80x^58+199x^60+1024x^61+112x^62+148x^64+48x^66+89x^68+36x^72+23x^76+5x^80+1x^100

The gray image is a code over GF(2) with n=244, k=11 and d=104.
This code was found by Heurico 1.16 in 0.503 seconds.