The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  1  1  0  1  2  X X+2  1  1  1  X  1  1  1  1  1 X+2  0  1  2 X+2  1
 0  1  1 X+2 X+3  1  0 X+1  1  X  3  1  X X+1 X+3  1  0  1  1  1 X+2  3  0  1  1 X+1  X  2 X+1  1  1 X+3  1  1  0
 0  0  X  0 X+2  0 X+2  0  X X+2  2 X+2 X+2  0 X+2  0  2 X+2  X  0  2  2  0 X+2  X  0 X+2 X+2  0  2  2  X  X  0  0
 0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  2  0  2  0  2  0  2  2  2  0  0  0  0  2  0  2  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  2  0  2  2  0  2  2  0  2  0  0  2  2  0  2
 0  0  0  0  0  2  0  0  2  2  0  2  0  2  0  0  2  2  2  2  0  0  2  0  0  2  2  0  2  2  2  0  0  2  0
 0  0  0  0  0  0  2  0  2  2  0  2  2  0  0  0  0  0  0  2  2  2  0  2  0  2  0  2  2  2  0  2  0  0  0
 0  0  0  0  0  0  0  2  2  0  2  2  0  2  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  2  0  2  0  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+148x^28+24x^29+366x^30+272x^31+893x^32+744x^33+1166x^34+992x^35+1218x^36+744x^37+802x^38+272x^39+370x^40+24x^41+90x^42+50x^44+8x^46+8x^48

The gray image is a code over GF(2) with n=140, k=13 and d=56.
This code was found by Heurico 1.16 in 1.71 seconds.