The generator matrix

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

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+40x^38+58x^39+180x^40+336x^41+524x^42+544x^43+1151x^44+906x^45+2003x^46+1188x^47+2491x^48+1292x^49+1990x^50+928x^51+1137x^52+560x^53+492x^54+210x^55+128x^56+100x^57+62x^58+16x^59+31x^60+6x^61+9x^62+1x^68

The gray image is a code over GF(2) with n=192, k=14 and d=76.
This code was found by Heurico 1.16 in 9.73 seconds.