The generator matrix

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

generates a code of length 34 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+21x^30+72x^31+59x^32+52x^33+104x^34+94x^35+45x^36+12x^37+17x^38+24x^39+6x^40+2x^42+2x^43+1x^60

The gray image is a code over GF(2) with n=136, k=9 and d=60.
This code was found by Heurico 1.16 in 0.0196 seconds.