The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  2  X  0  1  X  1  1 X+2  0 X+2  1  0  X  1  1  1 X+2  1  1  1  1  X  1
 0  1  0  0  2  1  3  1 X+2  X  3 X+3  1  1 X+2 X+1  1 X+2  0  1  0  X  X  1  1 X+2  X X+3  1  3  2 X+1 X+2  1  1
 0  0  1  0  3  1  2  3  0  1 X+2 X+1  X  1  1  2 X+1 X+3  X  X  1  1  3  1 X+2  2 X+3 X+1 X+1 X+1  3  0 X+2  X X+3
 0  0  0  1  1  2  3  3 X+1  0 X+2  3  1  X X+1  0 X+1  X X+3  X X+2  3 X+3  X  2  2  3  2 X+2  1  2 X+2 X+3  1 X+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+138x^30+346x^31+419x^32+492x^33+548x^34+484x^35+404x^36+386x^37+338x^38+242x^39+148x^40+80x^41+48x^42+16x^43+4x^44+2x^45

The gray image is a code over GF(2) with n=140, k=12 and d=60.
This code was found by Heurico 1.16 in 0.302 seconds.