The generator matrix

 1  0  0  0  0  1  1  1  2  1  1  1  1 X+2  0 X+2 X+2 X+2  2  1  2  0  1  1  1  1  1  X  1  0  1  X  2  1  1 X+2  0  X  1  1  2  1  0  1 X+2  0  0  1
 0  1  0  0  0  0  0  0  0  2  2  2  2  0  1  1  1  1  1 X+1  1  X X+1  1 X+3  1 X+3  X  3  0 X+2  1 X+2 X+2 X+2  1  1  X X+1  1 X+2 X+3  1 X+3  2  X  2  0
 0  0  1  0  0  2  1  3  1  X  0 X+1 X+3  1 X+2  3 X+1  2 X+3 X+1  2  1  X X+3 X+3  3  0  1  2 X+2 X+1 X+3 X+2  3 X+3 X+3  1 X+2  1  1  1 X+2 X+2 X+1  1  1 X+2  2
 0  0  0  1  0  3  1  2  3  0 X+1  X  3  0 X+1  2  3 X+3  1 X+2  X X+1 X+3 X+3  2 X+3  X  0  1  1  2  X  X  0  3  3 X+3  1  2  0  X  2  3 X+2  3 X+1  1  2
 0  0  0  0  1  1  2  3  3 X+1  X  0  3 X+1 X+1 X+2 X+1  X  0 X+3  1 X+2  0  2  0 X+1  2 X+1  1 X+3  0 X+1  1 X+2  X  1  X X+1 X+1  2 X+2 X+2 X+3  3  1  0  3 X+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+188x^40+654x^41+1058x^42+1602x^43+2035x^44+2608x^45+2989x^46+3364x^47+3333x^48+3876x^49+3040x^50+2848x^51+2089x^52+1304x^53+853x^54+494x^55+212x^56+118x^57+60x^58+26x^59+14x^60+2x^63

The gray image is a code over GF(2) with n=192, k=15 and d=80.
This code was found by Heurico 1.13 in 10.9 seconds.