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  1  1  1  1  1  1  1  1  X  2  2  1  X  1  X  X  X  0  X  X  X  0  X  1  2
 0  X  0  0  0  0  0  0  0  X X+2  X  X X+2  2  0  X X+2  2  2  X  2  0 X+2 X+2  2  X  0  X  X X+2  X  0  0 X+2  2  0  X X+2  X  X  0  2 X+2  X  2  X  2
 0  0  X  0  0  0  X X+2  X  0  0  0  X  X  0  X  2  0 X+2  2 X+2 X+2 X+2  X X+2  2  X  X  0  0  X  2  2  X X+2  0 X+2  X  X  2  2  X X+2  2  2  0  X  0
 0  0  0  X  0  X  X X+2  0  X  X  2  0  2 X+2  X  X  X X+2  0 X+2  2  2  2  X  0  0  2  0  2  X  2  X  0 X+2  0  0  0 X+2  X  X  X X+2  0  2  X  2  2
 0  0  0  0  X  X  0 X+2  X  2 X+2 X+2  0 X+2  2  2  X  2  X  2 X+2 X+2  0 X+2  2  X  0  X X+2  2  X X+2  X  X X+2  X  2  2 X+2  0 X+2  0  0  0  2  2  X  2
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  2  2  2  0  2  0  2  2  0  2  0  0  2  0  0  2  2  2  2  0  2  0  2  0  0  2  0  2  0  0  0  2
 0  0  0  0  0  0  2  0  2  2  0  2  0  0  2  0  2  0  2  2  2  0  0  0  2  2  0  2  2  0  0  0  0  2  2  0  2  2  2  2  0  0  2  0  2  0  0  0
 0  0  0  0  0  0  0  2  2  0  2  2  2  2  2  2  0  2  0  0  0  2  2  0  0  2  2  0  2  2  0  2  2  2  2  0  0  0  2  2  2  0  0  0  2  2  0  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+189x^38+8x^39+509x^40+36x^41+861x^42+220x^43+1442x^44+676x^45+1890x^46+1116x^47+2348x^48+1116x^49+2194x^50+660x^51+1406x^52+204x^53+806x^54+44x^55+381x^56+16x^57+185x^58+54x^60+18x^62+1x^64+2x^68+1x^70

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 13.5 seconds.