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.