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.