The generator matrix

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

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+137x^44+236x^45+414x^46+620x^47+818x^48+756x^49+760x^50+940x^51+804x^52+700x^53+536x^54+580x^55+400x^56+220x^57+128x^58+36x^59+65x^60+8x^61+18x^62+13x^64+2x^68

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 2.22 seconds.