The generator matrix

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

generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+84x^29+153x^30+254x^31+491x^32+706x^33+836x^34+1016x^35+1182x^36+1024x^37+810x^38+690x^39+459x^40+210x^41+110x^42+84x^43+41x^44+24x^45+9x^46+4x^47+1x^48+2x^50+1x^52

The gray image is a code over GF(2) with n=144, k=13 and d=58.
This code was found by Heurico 1.16 in 7.2 seconds.