The generator matrix

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

generates a code of length 40 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+9x^38+72x^39+10x^40+16x^41+4x^42+4x^44+2x^46+8x^47+1x^48+1x^54

The gray image is a code over GF(2) with n=160, k=7 and d=76.
This code was found by Heurico 1.16 in 0.0187 seconds.