The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+153x^28+276x^29+670x^30+872x^31+1410x^32+1780x^33+1882x^34+2280x^35+1928x^36+1852x^37+1322x^38+920x^39+625x^40+188x^41+150x^42+24x^43+39x^44+8x^46+3x^48+1x^56

The gray image is a code over GF(2) with n=140, k=14 and d=56.
This code was found by Heurico 1.16 in 5.3 seconds.