The generator matrix

 1  0  0  1  1  1 X+2  1  2  1  1  X  1  X  2  1  1  1  2  2  1  1  X  1  1 X+2 X+2  1  1  1  1  2  0  1  1 X+2  1  1  1  0  1  0  0  1  0 X+2  0  2  2  1  2
 0  1  0  0  1 X+3  1  3  1  X  2  X X+3  1  0  1  X  3  1  1 X+2 X+3  1  0  3  1  1 X+3 X+3  X  1  1  0  X X+2  0 X+3 X+2 X+1 X+2 X+3  X  1 X+2  1 X+2  0  1  1  2  X
 0  0  1  1  1  0  1  X X+1 X+3  X  1 X+1  0  1  3  X X+2  3 X+2  1  3 X+2 X+2  2  3  3  0 X+2 X+3  3  0  1  0  3  1  0  3  X  1  1  1  0 X+1 X+2  1  1 X+3  3 X+2  1
 0  0  0  X  0  0  2  0  2  X  0  0  2  0 X+2 X+2 X+2 X+2  X  X  0 X+2  2  0  0  2  X X+2 X+2  0 X+2 X+2  X X+2  X  2  X  X X+2  2  X X+2 X+2 X+2  2 X+2  X  2  X  2 X+2
 0  0  0  0  X X+2 X+2 X+2  X  0  0  2  X X+2  2 X+2  0  X X+2  X  0 X+2  0  X  2  2  2  2  0  X  2  0  X  X X+2 X+2 X+2  X  X X+2  2  2  X  X  X X+2  2  0  0 X+2  X
 0  0  0  0  0  2  0  0  2  2  2  2  2  0  2  2  2  0  0  0  2  0  2  0  2  2  2  2  0  0  2  2  0  2  2  2  0  0  2  0  0  0  2  0  2  0  0  0  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+108x^43+345x^44+596x^45+825x^46+920x^47+1183x^48+1634x^49+1782x^50+1762x^51+1717x^52+1508x^53+1250x^54+1050x^55+719x^56+450x^57+282x^58+116x^59+58x^60+28x^61+17x^62+10x^63+9x^64+8x^65+4x^66+2x^67

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 9.37 seconds.