The generator matrix

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

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+512x^46+804x^48+916x^50+719x^52+562x^54+349x^56+176x^58+41x^60+10x^62+6x^64

The gray image is a code over GF(2) with n=204, k=12 and d=92.
This code was found by Heurico 1.16 in 53 seconds.