The generator matrix

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

generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+145x^30+362x^31+534x^32+840x^33+800x^34+1002x^35+907x^36+1000x^37+817x^38+790x^39+452x^40+288x^41+150x^42+54x^43+23x^44+16x^45+8x^46+3x^48

The gray image is a code over GF(2) with n=144, k=13 and d=60.
This code was found by Heurico 1.13 in 0.555 seconds.