The generator matrix

 1  0  0  1  1  1 X+2  1  1  2  1  X  1  0  1  0  0  1  1  1  2  0 X+2  X  1  1  1  1  1  0 X+2  0  1  X  1  2  1 X+2  1  1  1  0  0  1  1  1  X  1
 0  1  0  0  1 X+3  1 X+1  3  X  X  1 X+2  1  1  1  0  2  0  1 X+2  1  1  1 X+1  1 X+2 X+3 X+2 X+2  1  X  3  X X+2  1  1  1  3  2  X  1  2 X+2 X+3 X+2 X+2 X+3
 0  0  1  1  1  0  1  3  X  1  X  3  1  2  1  2  1 X+2 X+1  0  1 X+3  X X+3 X+1  0  X X+2 X+1  1  1  1 X+1  1 X+3  0  1 X+2  X X+2  2 X+2  1 X+2 X+1  3 X+2 X+1
 0  0  0  X  0  0  2 X+2 X+2 X+2  X X+2  2 X+2  0  0  X  2  0  0  X  2  X  2  X X+2  X  2 X+2  2  X X+2  2  2 X+2  2  0  0  0 X+2  X  X  X  2  2 X+2  2  2
 0  0  0  0  X X+2 X+2  2  0 X+2  X  0  X  X  2 X+2  X  X  2 X+2  0  X  X  2  0  0  0  2  X X+2  X  2 X+2 X+2  X X+2  2  X  0  0  2  0  0  2  0 X+2  X  X
 0  0  0  0  0  2  0  0  2  0  0  0  0  0  2  2  2  2  2  0  2  2  2  0  2  0  0  2  2  0  0  0  2  2  0  0  0  2  2  2  0  0  2  0  2  2  0  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+103x^40+302x^41+535x^42+774x^43+1010x^44+1318x^45+1534x^46+1698x^47+1886x^48+1764x^49+1548x^50+1326x^51+925x^52+718x^53+456x^54+208x^55+162x^56+50x^57+17x^58+24x^59+9x^60+8x^61+6x^62+2x^63

The gray image is a code over GF(2) with n=192, k=14 and d=80.
This code was found by Heurico 1.16 in 8.18 seconds.