The generator matrix

 1  0  0  1  1  1 X+2  1  1  1  2  1  1  X X+2  2  2  1 X+2  1  1  0  X  1  X  1  1  2  X  1  1  1  1  1  0  2
 0  1  0  0  1 X+1  1 X+2  3  X  1 X+3  1 X+2  1  X  1 X+2  0 X+1  1  1  1 X+3  1  2 X+2  1  1 X+3  2 X+1 X+1  X  2  1
 0  0  1  1  1  0  1  0  2 X+1 X+1  X X+1  1  0  1  3 X+2  1  3  X  2 X+2  3 X+1  2 X+1  0  3  X  1 X+1  2 X+2  1  1
 0  0  0  X X+2  0  X  2  2  X  X  2  X  2  0  0 X+2  0  2  X  2  2  X  2  2 X+2  0 X+2  X  X  2  2 X+2  X X+2  2
 0  0  0  0  2  0  2  0  0  2  0  2  0  2  2  0  0  2  2  2  0  2  0  2  0  0  0  2  2  0  0  0  0  2  0  2
 0  0  0  0  0  2  0  2  0  0  0  0  2  2  0  2  2  2  0  0  2  2  0  2  2  0  0  2  2  2  2  0  2  0  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+254x^30+216x^31+663x^32+576x^33+1010x^34+736x^35+1248x^36+784x^37+1114x^38+552x^39+584x^40+176x^41+174x^42+32x^43+56x^44+8x^46+8x^48

The gray image is a code over GF(2) with n=144, k=13 and d=60.
This code was found by Heurico 1.16 in 9.25 seconds.