The generator matrix

 1  0  0  0  0  1  1  1  2  1  1  1  1  1  X  2  1  1  0  1 X+2  2  1  2  1  X  1  1 X+2  X  1 X+2  1  0  X  1
 0  1  0  0  0  0  0  0  0  2  2  2  2  3  1  1  1  1 X+2  3  1  X X+3  1 X+3  X X+2  1  1 X+2 X+1  1 X+2  0  1  X
 0  0  1  0  0  2  1  3  1  X  0 X+1 X+3 X+3  2 X+3  3 X+2  1  X  0  2 X+3  1 X+3  X  0 X+2  1  0 X+3 X+2  X  1  2 X+3
 0  0  0  1  0  3  1  2  3  0 X+1  X  3 X+3  1  1  0 X+2  1  3  2  1  X X+1  3  1 X+3 X+1  0  1 X+1  3  X  0 X+1 X+2
 0  0  0  0  1  1  2  3  3 X+1  X  0  3 X+3 X+1 X+2 X+2  3  X  0  1 X+1  3 X+1 X+3 X+3  X  2  0  3  X  2  0 X+2  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+342x^29+673x^30+1374x^31+1813x^32+2824x^33+3223x^34+4008x^35+3876x^36+4316x^37+3375x^38+3056x^39+1806x^40+1164x^41+489x^42+256x^43+88x^44+54x^45+16x^46+10x^47+4x^49

The gray image is a code over GF(2) with n=144, k=15 and d=58.
This code was found by Heurico 1.13 in 7.55 seconds.