The generator matrix

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

generates a code of length 39 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+22x^37+44x^38+46x^40+8x^41+4x^46+1x^48+2x^53

The gray image is a code over GF(2) with n=156, k=7 and d=74.
This code was found by Heurico 1.16 in 0.0325 seconds.