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  X  1  1  1  1  1  1  1  X  1  1
 0  X  0  X  0  0  X X+2  2  2  X X+2 X+2 X+2  2  2  0  X  X  2  X  X  2  X  0  X X+2  X X+2  2  2  X  2  2
 0  0  X  X  0 X+2  X  2  0  X  X  0  2  X  2 X+2  0 X+2  X  0  2  0  X X+2  0 X+2  2  0  X  2  X  X X+2 X+2
 0  0  0  2  0  0  2  0  0  0  0  2  2  0  2  2  2  0  2  2  2  0  2  0  2  0  2  0  2  0  2  0  2  0
 0  0  0  0  2  0  0  0  2  2  0  2  0  2  2  2  2  0  2  0  0  2  0  2  0  2  2  2  2  0  0  2  2  2
 0  0  0  0  0  2  2  2  2  2  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  2  2  0  0  2  0  0  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+192x^30+126x^32+384x^34+128x^36+192x^38+1x^64

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 14.6 seconds.