The generator matrix

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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+80x^45+28x^46+78x^48+48x^49+160x^50+256x^51+160x^52+48x^53+56x^54+16x^56+80x^57+12x^62+1x^96

The gray image is a code over GF(2) with n=204, k=10 and d=90.
This code was found by Heurico 1.16 in 0.579 seconds.