The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+1x^38+10x^39+1x^40+2x^41+1x^42

The gray image is a code over GF(2) with n=148, k=4 and d=76.
This code was found by Heurico 1.16 in 0.0131 seconds.