The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  X X+2  1  X  2  1  2 X+2  2 X+2  1  1  1  1  2  1  1  1  0  X  1  1  1  1  2  0  1  1  X  1  1  0  1  X  2  2 X+2  1  0  1
 0  1  0  0  X  2 X+2  1  3  1  3  1  1 X+1  0 X+2  2  1  1  1  2 X+3 X+1  1  X  X  3  X  1  1  1 X+2  1  0  0  1  2  X X+2  X  1 X+1 X+2  0  X  1  1  1  0  1  0
 0  0  1  0  X  3  1  3  2  1 X+1 X+1  X  2  1  1  X  X  3  2  2 X+2 X+1  0 X+2  1 X+3  3 X+3  0 X+3  2  X  1  X  3  1  0 X+2  1  3  X  X  2  1 X+2  3  2 X+1 X+2  0
 0  0  0  1 X+1  1  X  3  3  2 X+3  X  1  2 X+3 X+1 X+1  2  X X+3  1  X  1  3  2 X+2  2  0 X+2  X  1  1 X+2 X+1  3 X+1  X  X  1  0  3 X+3  1  X X+2 X+1  0  0  3 X+1  2
 0  0  0  0  2  0  2  0  0  0  2  2  2  2  2  0  0  2  0  2  2  0  0  2  2  2  0  0  2  0  2  0  0  0  2  2  2  0  0  2  2  0  2  2  0  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 44.

Homogenous weight enumerator: w(x)=1x^0+64x^44+298x^45+459x^46+738x^47+692x^48+776x^49+716x^50+840x^51+774x^52+794x^53+647x^54+504x^55+343x^56+292x^57+86x^58+90x^59+44x^60+16x^61+12x^62+2x^63+2x^64+2x^67

The gray image is a code over GF(2) with n=204, k=13 and d=88.
This code was found by Heurico 1.13 in 0.881 seconds.