The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X 0 1 X 0 X 0 1 1 1 X X X X X X X 2 2 2 2 1 1 1 1 X X X 1 1 1 1 X
0 X 0 X+2 0 X+2 0 X 2 X+2 2 X 2 X+2 2 X X+2 X X+2 X 0 X+2 X X+2 X 0 0 0 2 2 2 X X X X X X X X X+2 X X+2 X 0 0 0 2 2 2 2 0
0 0 2 0 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 0 0 2 2 0 2 2 2 2 0 2 2 0 0 2 2 0 0 0 2 0 0 0 2 2 2 0 2 0 0
0 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 0 2 0 0 2 2 2 0 0 2 2 0 2 2 0 0 2 2 0 0 0 2 2 2 2 0 0 0 2 2 0
generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.
Homogenous weight enumerator: w(x)=1x^0+36x^50+64x^51+12x^52+8x^54+2x^56+4x^58+1x^64
The gray image is a code over GF(2) with n=204, k=7 and d=100.
This code was found by Heurico 1.16 in 0.0666 seconds.