The generator matrix

 1  0  0  1  1  1  2  0  1  1 X+2  1  1  X  1  1  X  X  2  1  1  2  1  1  1  1 X+2  1  2  1  0  1 X+2  1
 0  1  0  0  1  1  1  2  0  1  1  X  3  1  1  X  1  2  1 X+3  3  1 X+1 X+1  0 X+2  X X+3  1 X+1  1 X+1 X+2  0
 0  0  1  1  2  3  1  1  0  X  3 X+1 X+3  0 X+3  3  2  1 X+1  3 X+2  1 X+2  X  0  1  1  0  1 X+2 X+2  3  1  3
 0  0  0  X  0  X  X  X X+2 X+2  2  X  X  2  2  2 X+2  0  0 X+2  0 X+2  X X+2  2 X+2  X  0  0  2  2  2  0  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+225x^30+170x^31+410x^32+84x^33+356x^34+152x^35+318x^36+56x^37+137x^38+42x^39+71x^40+4x^41+18x^42+4x^43

The gray image is a code over GF(2) with n=136, k=11 and d=60.
This code was found by Heurico 1.11 in 4.39 seconds.