The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+90x^41+272x^42+346x^43+693x^44+648x^45+933x^46+772x^47+933x^48+706x^49+859x^50+566x^51+594x^52+318x^53+224x^54+98x^55+74x^56+28x^57+12x^58+8x^59+9x^60+2x^61+3x^62+2x^63+1x^66

The gray image is a code over GF(2) with n=192, k=13 and d=82.
This code was found by Heurico 1.16 in 9.68 seconds.