The generator matrix

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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+38x^48+232x^49+32x^50+24x^52+112x^53+24x^54+40x^57+4x^58+1x^64+4x^66

The gray image is a code over GF(2) with n=204, k=9 and d=96.
This code was found by Heurico 1.13 in 0.031 seconds.