The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+39x^26+4x^27+83x^28+56x^29+170x^30+128x^31+452x^32+200x^33+800x^34+248x^35+806x^36+200x^37+441x^38+128x^39+150x^40+56x^41+71x^42+4x^43+39x^44+12x^46+5x^48+2x^50+1x^54

The gray image is a code over GF(2) with n=140, k=12 and d=52.
This code was found by Heurico 1.16 in 0.563 seconds.