The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+43x^32+140x^33+87x^34+46x^35+54x^36+80x^37+15x^38+6x^39+12x^40+16x^41+10x^42+1x^44+1x^48

The gray image is a code over GF(2) with n=140, k=9 and d=64.
This code was found by Heurico 1.13 in 0.015 seconds.