The generator matrix

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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+72x^43+235x^44+206x^45+321x^46+514x^47+700x^48+828x^49+780x^50+900x^51+908x^52+804x^53+569x^54+504x^55+390x^56+176x^57+106x^58+52x^59+57x^60+30x^61+13x^62+6x^63+13x^64+4x^65+2x^66+1x^70

The gray image is a code over GF(2) with n=204, k=13 and d=86.
This code was found by Heurico 1.16 in 5.77 seconds.