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 0 0 1 1 2 1 1 1 X X 1 X 1 1 1 0 X 1 1 2 2 1 1 X 0
0 X 0 0 0 0 0 2 2 X X+2 X X X X+2 X 0 X+2 2 X 2 X 0 2 X X 2 2 X+2 2 X+2 X 2 X+2 X X+2 X+2 2 2 X 0 0 2 2 X X 2 X
0 0 X 0 0 2 X+2 X X X X X X+2 0 0 0 2 2 X+2 X 2 0 0 X X+2 X 2 0 0 X+2 2 X 0 X+2 X+2 2 2 2 0 X+2 0 X X X 2 X+2 X X
0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 0 X X 2 X 2 X+2 0 X+2 0 2 0 X X 0 X X+2 X+2 X X X+2 X+2 X 0 X X+2 2 2 2 X+2 0 2 X 2 X 2
0 0 0 0 X X 2 X+2 X X+2 2 2 X 2 X+2 X X 2 2 X+2 0 X+2 0 0 0 0 X X 2 X+2 X+2 X 0 X X+2 0 X X+2 X X 2 X+2 2 X X+2 X+2 X+2 X
generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.
Homogenous weight enumerator: w(x)=1x^0+164x^42+16x^43+216x^44+104x^45+308x^46+144x^47+246x^48+128x^49+280x^50+96x^51+121x^52+24x^53+118x^54+48x^56+24x^58+7x^60+2x^62+1x^72
The gray image is a code over GF(2) with n=192, k=11 and d=84.
This code was found by Heurico 1.16 in 0.614 seconds.