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

generates a code of length 53 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+53x^42+108x^44+150x^46+186x^48+236x^50+1334x^52+1325x^54+247x^56+175x^58+112x^60+72x^62+44x^64+30x^66+14x^68+5x^70+1x^72+2x^74+1x^80

The gray image is a code over GF(2) with n=212, k=12 and d=84.
This code was found by Heurico 1.16 in 1.6 seconds.