The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  0  1  1  1 X+2  1  1 X+2  1  1  1  0  1  X  1  0  1  1  2  1  1  1  1  0  X  1  1  1  1  1  1  1 X+2 X+2  1  1  2  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0  1 X+1 X+2  3  1  0  3  1 X+2  0  3  1 X+1  1 X+1  1 X+2 X+3  1  2  X  3 X+3  1  0  3 X+2  2 X+2  2  X X+1  1  1 X+3  2  0  0
 0  0  2  0  0  0  0  0  0  2  2  0  2  0  0  0  2  2  2  2  2  0  0  0  2  2  0  2  2  2  2  2  2  2  0  0  2  2  2  0  2  0  0  0  2  2  0  2  2  0  0
 0  0  0  2  0  0  0  2  0  2  2  0  0  2  2  0  2  2  0  0  0  0  2  2  2  0  2  2  0  2  0  0  2  2  0  0  0  2  2  2  0  2  0  0  0  2  2  2  2  0  0
 0  0  0  0  2  0  0  0  2  0  2  0  2  2  2  2  2  0  2  0  2  0  2  0  0  2  2  2  0  0  2  0  0  2  0  2  2  2  2  0  2  2  2  0  0  0  0  0  2  0  0
 0  0  0  0  0  2  0  2  2  0  2  0  2  0  2  2  0  2  0  2  0  2  0  0  0  2  2  2  0  2  0  2  2  2  2  2  2  2  0  2  0  2  2  2  0  2  2  0  2  2  2
 0  0  0  0  0  0  2  2  0  2  0  2  2  2  2  2  2  2  2  0  0  2  0  0  2  0  0  2  0  0  0  0  2  0  2  0  2  2  0  0  0  2  2  0  2  0  0  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+24x^44+74x^45+78x^46+224x^47+70x^48+324x^49+86x^50+336x^51+93x^52+288x^53+70x^54+192x^55+56x^56+76x^57+16x^58+16x^59+10x^60+6x^61+2x^62+1x^64+2x^66+1x^68+2x^70

The gray image is a code over GF(2) with n=204, k=11 and d=88.
This code was found by Heurico 1.16 in 0.21 seconds.