The generator matrix

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

generates a code of length 40 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+24x^37+54x^38+86x^40+32x^41+40x^42+8x^44+8x^45+1x^46+1x^48+1x^62

The gray image is a code over GF(2) with n=160, k=8 and d=74.
This code was found by Heurico 1.16 in 7.15 seconds.