The generator matrix

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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+506x^46+848x^48+844x^50+744x^52+582x^54+324x^56+202x^58+32x^60+8x^62+3x^64+2x^66

The gray image is a code over GF(2) with n=204, k=12 and d=92.
This code was found by Heurico 1.11 in 92.9 seconds.