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

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+120x^40+4x^41+180x^42+60x^43+344x^44+372x^45+294x^46+588x^47+306x^48+588x^49+222x^50+372x^51+238x^52+60x^53+162x^54+4x^55+111x^56+38x^58+26x^60+5x^64+1x^72

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 0.893 seconds.