The generator matrix

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

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+208x^30+136x^31+465x^32+152x^33+320x^34+112x^35+294x^36+80x^37+160x^38+8x^39+70x^40+24x^41+16x^42+2x^44

The gray image is a code over GF(2) with n=136, k=11 and d=60.
This code was found by Heurico 1.16 in 1.16 seconds.