The generator matrix

 1  0  0  1  1  1  X  0  1  1  1 X+2  1  2  1  1  2  1 X+2  1  X  2  X  1  1 X+2  2  1  1  1  1  1  1  1 X+2  1  2  1  1  X  1  2  1  1  2  1 X+2  1  1  X  0
 0  1  0  0  1 X+3  1  1  X  X X+1  1  1  X  3 X+2  X  X  1  3  1  1  1  1 X+1  1  1  2 X+2  2  1  1 X+2 X+3  0 X+1  1  3 X+2  1  3  X X+3 X+1  1  2  1  2 X+2  2  0
 0  0  1  1  1  0  1 X+1 X+1  X X+3  0  2  1  1 X+3  1  0 X+3  2 X+2 X+2 X+3  X X+3 X+1  3  0  2 X+1  X X+1 X+2 X+1  1  X  0 X+1  0 X+2  3  1  X  1 X+1  0  0 X+3 X+1  1  X
 0  0  0  X  0 X+2  2  0  X  2  2  0  X  0 X+2  2 X+2  X X+2  0 X+2  X  X  0 X+2  2 X+2  2  X X+2  X  2 X+2 X+2 X+2  0  2  X  0  0  0  0  X  2  X  X  2  0 X+2  0  2
 0  0  0  0  2  0  2  0  2  2  0  2  2  2  0  0  0  0  2  0  0  2  0  2  0  2  2  2  0  0  2  0  2  2  2  0  2  0  0  2  2  0  0  2  2  2  0  0  2  0  0
 0  0  0  0  0  2  0  2  2  2  2  2  0  2  2  0  0  0  0  2  0  2  2  2  0  2  2  0  2  2  2  0  2  0  0  0  0  0  2  2  2  0  2  0  0  0  2  2  0  2  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+159x^44+264x^45+484x^46+548x^47+693x^48+876x^49+768x^50+776x^51+732x^52+848x^53+658x^54+484x^55+388x^56+252x^57+110x^58+48x^59+69x^60+26x^62+6x^64+2x^66

The gray image is a code over GF(2) with n=204, k=13 and d=88.
This code was found by Heurico 1.16 in 2.53 seconds.