The generator matrix

 1  0  1  1  1  2  X  1  1  1  1  0  0  1  1  1  X  1  1  1  1 X+2  1  0  1  1  1  X  1  1  1  1  1  0
 0  1  1 X+2 X+3  1  1  2  3  X X+1  1  1 X+1  2 X+3  1 X+3  2  3 X+2  1 X+2  1 X+2  0  0  0  0 X+2 X+2  2  X  0
 0  0  X  0 X+2  X X+2  X  2 X+2  0  0 X+2  2 X+2  X  X  2  0 X+2  X  0  2  2  2  0  2  X  2 X+2 X+2  0  0  X
 0  0  0  2  0  2  0  0  2  2  0  2  0  2  0  2  2  0  0  2  2  0  0  2  0  2  2  0  0  0  0  2  2  0
 0  0  0  0  2  2  0  2  0  0  2  0  2  2  0  0  0  0  2  2  2  2  2  2  0  0  2  2  0  0  2  2  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+116x^30+305x^32+266x^34+184x^36+118x^38+20x^40+6x^42+6x^46+2x^48

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 0.0452 seconds.