The generator matrix

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

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+112x^38+24x^39+136x^40+64x^41+138x^42+80x^43+162x^44+64x^45+116x^46+24x^47+75x^48+18x^50+1x^52+8x^56+1x^68

The gray image is a code over GF(2) with n=172, k=10 and d=76.
This code was found by Heurico 1.16 in 4.51 seconds.