The generator matrix

 1  0  0  1  1  1  X  0  1  X  1  1  1  0  1  1 X+2  X  1 X+2  2  1  1  0  1  1  1  2  1  2  1  0  1 X+2 X+2  1  2  1  1  1  1  1  1
 0  1  0  0  1 X+3  1  X X+3  1  X  X  3  1 X+1  0  X  1  X  X  1 X+1  1  1  1 X+2  0  1  2  2 X+1  0  1  1  1  X  1  2  2 X+3  2  3  2
 0  0  1  1  1  0  1  1  1 X+3  3  0  2  X X+2 X+2  1  3  1  1 X+1  0 X+3 X+2 X+1  3 X+1  3  2  1  1  1  2  0 X+2 X+1  3  2  2  1  0  1  0
 0  0  0  X  0  0  0  0  0  0  X  2  2  X  X  X X+2 X+2  2  X X+2 X+2  X  2  X  2  0 X+2 X+2 X+2  0  0  X X+2 X+2  0  0  2  2 X+2  X X+2  0
 0  0  0  0  X X+2  2 X+2  2 X+2  X X+2  2  0  2  2  0  2  2 X+2  X  X  X  X  0  X X+2 X+2  0  X  2 X+2  2  X  0  0  X X+2 X+2 X+2 X+2 X+2 X+2
 0  0  0  0  0  2  2  0  0  2  0  0  2  2  0  2  2  0  2  2  0  0  2  0  2  2  0  2  0  0  2  2  2  0  0  0  2  2  0  0  0  0  2

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+62x^35+201x^36+512x^37+682x^38+1150x^39+1047x^40+1692x^41+1616x^42+2308x^43+1726x^44+1900x^45+1122x^46+1072x^47+541x^48+388x^49+156x^50+102x^51+61x^52+20x^53+8x^54+10x^55+7x^56

The gray image is a code over GF(2) with n=172, k=14 and d=70.
This code was found by Heurico 1.16 in 7.01 seconds.