The generator matrix

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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+90x^44+72x^45+288x^46+188x^47+479x^48+344x^49+505x^50+356x^51+472x^52+296x^53+339x^54+212x^55+218x^56+56x^57+83x^58+12x^59+40x^60+29x^62+10x^64+4x^66+2x^68

The gray image is a code over GF(2) with n=204, k=12 and d=88.
This code was found by Heurico 1.16 in 0.679 seconds.