The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^38+14x^40+1x^48

The gray image is a code over GF(2) with n=152, k=6 and d=76.
This code was found by Heurico 1.16 in 0.00995 seconds.