The generator matrix

 1  0  0  1  1  1 X+2  1  1  X  1  2  1  2  1  1  1 X+2  0 X+2  1  1  1  1 X+2  1  0  1  1  0  1 X+2  X  1  1  X X+2  1  1  1  1  2 X+2  2  2  1  1  1
 0  1  0  0  1 X+3  1 X+2 X+3  1  3  1  X  X  2  1  X  1  1  2 X+1  1 X+3  X  0  2  1 X+2  0  1 X+3  2  1  0  X  1  2 X+2 X+2  3 X+3  1  1  1  X X+1  X  1
 0  0  1  1 X+1  0 X+3  1 X+3 X+2  X  3  X  1  0 X+2 X+3  3  2  1 X+1  3 X+2  0  1 X+1  X  1  2  1  0  1  0  1  0 X+1  1  2  3 X+3 X+2  X  2 X+1  1  1 X+1  3
 0  0  0  X  X X+2  0 X+2 X+2  0 X+2  2  2  0 X+2  2  0 X+2  X X+2  2  0  0 X+2  0 X+2 X+2  2  X X+2  0 X+2 X+2  2 X+2  2 X+2  2  0  X X+2  0  2  0 X+2  0  X  X
 0  0  0  0  2  0  0  0  2  0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  0  2  0  2  2  0  2  0  2  2  0  0  2  2  0  0  2  2  2  2  2  0  0  0
 0  0  0  0  0  2  0  2  2  2  0  2  2  0  0  0  2  2  2  2  2  0  0  0  2  0  2  2  2  2  0  0  2  0  0  0  0  0  2  2  2  2  0  2  2  0  0  0
 0  0  0  0  0  0  2  2  2  2  2  0  2  0  0  2  2  0  2  0  0  2  0  0  0  2  0  2  0  2  0  2  2  0  0  0  2  0  0  2  0  2  2  0  0  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+148x^40+176x^41+643x^42+632x^43+1221x^44+1096x^45+1605x^46+1632x^47+2021x^48+1728x^49+1691x^50+1176x^51+1148x^52+552x^53+470x^54+144x^55+180x^56+32x^57+65x^58+15x^60+5x^62+2x^64+1x^66

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 8.49 seconds.