The generator matrix

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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+103x^40+110x^42+56x^43+493x^44+328x^45+578x^46+928x^47+1335x^48+1696x^49+1500x^50+2128x^51+1571x^52+1776x^53+1108x^54+928x^55+815x^56+288x^57+278x^58+56x^59+219x^60+8x^61+10x^62+48x^64+21x^68+2x^72

The gray image is a code over GF(2) with n=204, k=14 and d=80.
This code was found by Heurico 1.16 in 10.4 seconds.