The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+147x^30+306x^31+501x^32+444x^33+555x^34+396x^35+504x^36+348x^37+385x^38+202x^39+158x^40+84x^41+49x^42+8x^43+4x^44+4x^45

The gray image is a code over GF(2) with n=140, k=12 and d=60.
This code was found by Heurico 1.11 in 0.146 seconds.