The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+69x^38+247x^40+32x^41+492x^42+128x^43+723x^44+320x^45+987x^46+544x^47+1145x^48+544x^49+985x^50+320x^51+719x^52+128x^53+454x^54+32x^55+205x^56+74x^58+29x^60+7x^62+2x^64+1x^66+1x^68+3x^70

The gray image is a code over GF(2) with n=192, k=13 and d=76.
This code was found by Heurico 1.16 in 3.76 seconds.