The generator matrix

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

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+64x^43+293x^44+592x^45+877x^46+1174x^47+1343x^48+1386x^49+1596x^50+1746x^51+1615x^52+1542x^53+1407x^54+1050x^55+697x^56+496x^57+270x^58+104x^59+76x^60+14x^61+7x^62+20x^63+7x^64+2x^65+2x^66+2x^67+1x^70

The gray image is a code over GF(2) with n=204, k=14 and d=86.
This code was found by Heurico 1.16 in 7.84 seconds.