The generator matrix

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

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+32x^29+536x^30+356x^31+1160x^32+896x^33+1978x^34+1852x^35+2538x^36+1632x^37+2034x^38+1020x^39+1180x^40+320x^41+478x^42+36x^43+141x^44+30x^46+2x^48+1x^64

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 6.77 seconds.