The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  1  X X+2  X  X  1  1  2  X  1  2  1 X+2  1  0  2  2  X  1  1  1  2  1  2  1  1  0  1  1  1  1  1 X+2  2  X  1  1
 0  1  0  X  1 X+3  1 X+2  0  2  1 X+1  1  1  X  1  1 X+2  0  1  0  1 X+1  1 X+3  1  1  X  1 X+1  2  X X+2 X+1  1  1 X+1  1 X+2 X+3  1  2  X X+2  1  1  0  0
 0  0  1  1 X+3 X+2  1 X+3 X+2  1  1  0  X X+1  1  2  X  0  1  1 X+1  X X+3  0  1 X+2 X+1  1  3 X+2 X+2  X  1 X+1  3 X+3  0 X+1 X+3  3  2  2  2  1  3  0  1 X+1
 0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  2  2  2  2  2  2  0  2  2  2  2  0  0  0  0  0  0  2  0  2  0  2  2  0  0  0  2  0  2  0  2  0  2
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  0  0  2  2  0  0  2  2  2  2  2  0  2  2  0  0  2  2  0  2  2  2  0  2  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  0  2  2  2  0  2  0  0  2  2  2  2  2  0  0  0  2  2  0  0  2  2  2  0  0  0  2  0  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  2  0  0  0  2  0  2  0  2  2  2  0  0  2  0  2  0  2
 0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  0  0  0  2  0  0  0  2  0  2  2  2  0  2  2  0  2  0  0  0  2  0  2  0  0  2  2  0  2  2  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+182x^40+184x^41+502x^42+756x^43+1121x^44+1284x^45+1450x^46+1884x^47+1706x^48+1764x^49+1518x^50+1524x^51+1038x^52+588x^53+462x^54+180x^55+140x^56+20x^57+36x^58+8x^59+31x^60+3x^64+2x^68

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 8.32 seconds.