The generator matrix

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

generates a code of length 53 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+114x^47+216x^48+454x^49+362x^50+406x^51+422x^52+418x^53+298x^54+450x^55+205x^56+272x^57+196x^58+132x^59+61x^60+34x^61+18x^62+16x^63+6x^64+6x^65+6x^66+2x^67+1x^68

The gray image is a code over GF(2) with n=212, k=12 and d=94.
This code was found by Heurico 1.16 in 0.624 seconds.