The generator matrix

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

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+77x^30+24x^31+180x^32+88x^33+307x^34+144x^35+409x^36+144x^37+330x^38+88x^39+156x^40+24x^41+49x^42+19x^44+4x^46+2x^48+1x^54+1x^56

The gray image is a code over GF(2) with n=144, k=11 and d=60.
This code was found by Heurico 1.16 in 0.117 seconds.