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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+26x^42+58x^43+123x^44+126x^45+164x^46+256x^47+401x^48+386x^49+252x^50+446x^51+523x^52+382x^53+223x^54+202x^55+194x^56+102x^57+74x^58+48x^59+33x^60+28x^61+18x^62+14x^63+4x^64+8x^66+1x^68+3x^70

The gray image is a code over GF(2) with n=204, k=12 and d=84.
This code was found by Heurico 1.16 in 0.956 seconds.