The generator matrix

 1  0  1  1  1  0  1  1  X  1 X+2  1  1  1  0  1  1 X+2  2  X X+2  2  1  1  1  1  1  1  0 X+2  X  1  1  1  1
 0  1  1  0 X+1  1  X X+3  1 X+2  1  3  0 X+1  1  2 X+3  1  1  1  1  X  X  3  0  3 X+2  2  1  1  X  X X+3 X+1  0
 0  0  X X+2  0 X+2  X X+2  X  0  2  0  2  0  0  X X+2  0  X X+2  2  X  X  2  0  2  2 X+2  0  0  X X+2 X+2  0  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  0  2  0  0  2  2  2  2  2  0  2  2  2  0  0  2  2  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  0  0  0  2  2  2  2  2  2  0  2  0  2  0  2  0  0  0  0  0  2
 0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  2  2  2  0  2  0  2  0  2  2  0  2  2  2  2  0  0  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  0  2  0  2  0  0  2  2  2  0  0  2  0  0  2
 0  0  0  0  0  0  0  2  0  2  2  0  2  0  2  2  0  0  2  0  2  0  2  0  2  2  0  0  0  0  0  2  0  0  2
 0  0  0  0  0  0  0  0  2  0  0  2  2  2  0  2  2  2  0  2  2  2  0  2  0  0  0  0  0  0  2  0  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+55x^26+62x^27+206x^28+170x^29+736x^30+436x^31+1948x^32+860x^33+3200x^34+1040x^35+3209x^36+848x^37+1952x^38+460x^39+734x^40+164x^41+180x^42+50x^43+40x^44+6x^45+16x^46+5x^48+4x^50+1x^52+1x^58

The gray image is a code over GF(2) with n=140, k=14 and d=52.
This code was found by Heurico 1.16 in 6.2 seconds.