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

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+121x^40+8x^41+246x^42+60x^43+396x^44+168x^45+484x^46+268x^47+633x^48+280x^49+504x^50+180x^51+323x^52+56x^53+176x^54+4x^55+117x^56+58x^58+8x^60+4x^62+1x^68

The gray image is a code over GF(2) with n=192, k=12 and d=80.
This code was found by Heurico 1.16 in 0.844 seconds.