The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  X  X  X  1  2  1  1  X  1  1 X+2  2  1  1  X  1  1 X+2 X+2  1  0  1  1  1  X  1  2  2  1  0  2  1 X+2  1  1  1
 0  1  0  0  0  1  3  1  2 X+2  3 X+3  1  2  1 X+3  1  1 X+2  0 X+2  1  1 X+2  3  0  X X+2  X  1  1 X+3  0  3  X  1  1  0  1  1 X+1  2  2  X  1 X+3  1  0
 0  0  1  0  1  1  2  3 X+2  3 X+3  X  X  1 X+3  2 X+3  3 X+1  2  X X+1  0  1  2  3 X+2  1  X  0 X+2  2  1  0  2  X X+3 X+2  1 X+1  0  1  1  0  2  3  0  0
 0  0  0  1  1  2  1  1  3 X+2 X+3  0 X+3  1  2  3  3  1  1  1  0  0  3 X+2 X+1  X  1  1  1 X+2  2 X+2  1  X X+2 X+1  1 X+3  X X+2  0  X X+3  0 X+1 X+1 X+1  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  2  2  2  2  2  2 X+2  X X+2  X  X X+2  X  X X+2 X+2  2  X  X  2 X+2  2  X X+2  2  2 X+2 X+2  0 X+2  X  2 X+2  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+48x^40+298x^41+471x^42+948x^43+988x^44+1460x^45+1303x^46+1882x^47+1579x^48+1934x^49+1397x^50+1588x^51+828x^52+780x^53+395x^54+242x^55+136x^56+68x^57+12x^58+12x^59+4x^60+4x^61+6x^62

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 7.62 seconds.