The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0  1  1 X+2  1  1  2  1 X+2  1  1  1  X  1  1  0  1  1  1  1  1  1  1  1  1  1  1  X  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+1  1 X+2  3  1  2 X+3  1 X+2  1  3  3  X  1  0 X+1  1  0 X+2  0 X+2  2  X  2  X  2  0  0 X+2  0
 0  0  2  0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  0  0  0  0  0  2  0  2  2  2  2  2  0  0  2  0  2  2  2  0  2  0  2  0  0
 0  0  0  2  0  0  2  2  0  2  0  2  0  2  2  2  0  0  2  0  2  0  0  2  2  0  2  2  0  0  2  0  2  2  0  0  2  0  0  0  0  2  0
 0  0  0  0  2  0  2  0  2  2  2  2  0  2  0  0  2  0  2  2  2  0  0  0  0  0  2  2  2  0  0  0  0  2  0  2  2  2  0  2  2  0  0
 0  0  0  0  0  2  0  2  2  2  0  2  2  0  2  0  2  0  2  2  0  2  0  2  2  2  0  2  2  0  0  0  0  0  0  0  0  0  2  2  2  0  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+69x^38+32x^39+162x^40+64x^41+164x^42+64x^43+152x^44+64x^45+144x^46+32x^47+67x^48+4x^50+1x^54+2x^62+2x^64

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 0.0595 seconds.