The generator matrix

 1  0  1  1  1  2  1  1  0  1  1  0  X  1  1  1  1  0  1  1  1  1  2  2  X  0 X+2  0 X+2 X+2  X  X X+2  2
 0  1  1  0 X+1  1  1  0  1  2 X+1  1  1  3 X+2  X X+1  1  X  X  1 X+3  1  1  1  0  1  1  1  1  1  1  1  1
 0  0  X  0  0  2  0 X+2 X+2 X+2 X+2 X+2  2  2  0  2  0  2 X+2  X X+2 X+2  X X+2  0  X  2  2  0  0  X X+2  X  2
 0  0  0  X  2  X X+2 X+2 X+2  2  X  2 X+2  2  0  X X+2  0  2 X+2  X  0  2 X+2  X  0  X  X X+2  0  0  0  X X+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+56x^30+128x^31+191x^32+156x^33+48x^34+104x^35+164x^36+96x^37+30x^38+24x^39+10x^40+4x^41+6x^42+2x^46+2x^48+2x^50

The gray image is a code over GF(2) with n=136, k=10 and d=60.
This code was found by Heurico 1.16 in 0.0355 seconds.