The generator matrix

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

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+84x^41+247x^42+518x^43+532x^44+626x^45+844x^46+904x^47+941x^48+740x^49+808x^50+680x^51+448x^52+372x^53+186x^54+128x^55+58x^56+32x^57+17x^58+10x^59+4x^60+2x^61+10x^62

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 2.22 seconds.