The generator matrix

 1  0  1  1  1  0  1  1  0  1  X  1  1  1  0  1  0  1  1  2  1  1  X  1  1  1  1  2  0  2  1  1  2  1  1  1  1  1  1  1  1  1  1  X  1 X+2  X  1
 0  1  1  0  1  1  2 X+1  1  0  1 X+1  1  2  1 X+3  1  X X+1  1  3 X+2  1  0  1 X+3  2  1  1  1  0  X  1  0  1  3  X  1  0 X+2  1  X X+2  2  3  1  1 X+3
 0  0  X  0  0  0  0  0  0  0  0  2  2 X+2 X+2  X  X  X  X  X  X X+2 X+2 X+2  2  0  0  2 X+2  0  X  X  0  2  X  X  2 X+2 X+2  X X+2  X  2  X  X  X X+2  2
 0  0  0  X  0  0  0  0  X X+2 X+2 X+2 X+2 X+2  0  X X+2  2  2 X+2  X  X  2  0  2  2  X  0  2 X+2  2  X  2  X  0  X  0 X+2  2 X+2  0  2 X+2 X+2  X  0  X  2
 0  0  0  0  X  0  2 X+2  0  2  2  X X+2  X  X  2  X X+2  0  X  2 X+2  X X+2  0  0 X+2  X  2  X  0  0 X+2 X+2  X  X  X X+2  2  2  X  X  X X+2 X+2  2  2  0
 0  0  0  0  0  X X+2 X+2 X+2 X+2  0  0  X  0  0  X  X X+2  X  2  2 X+2  X  2  X  2  X  0 X+2 X+2  0  2 X+2  0  2  X X+2  2  X  0  X X+2  2 X+2 X+2 X+2  X  X

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+58x^39+170x^40+252x^41+491x^42+554x^43+1230x^44+924x^45+1926x^46+1256x^47+2604x^48+1372x^49+2022x^50+914x^51+1147x^52+510x^53+449x^54+204x^55+141x^56+70x^57+32x^58+20x^59+19x^60+6x^61+5x^62+2x^63+2x^65+3x^66

The gray image is a code over GF(2) with n=192, k=14 and d=78.
This code was found by Heurico 1.16 in 9.61 seconds.