The generator matrix

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

generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+161x^28+56x^29+490x^30+280x^31+1229x^32+1000x^33+1960x^34+1768x^35+2536x^36+1672x^37+2076x^38+1000x^39+1160x^40+344x^41+424x^42+24x^43+150x^44+42x^46+10x^48+1x^60

The gray image is a code over GF(2) with n=144, k=14 and d=56.
This code was found by Heurico 1.16 in 6.3 seconds.