The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+64x^24+28x^26+295x^28+64x^29+258x^30+384x^31+682x^32+960x^33+656x^34+1280x^35+888x^36+960x^37+492x^38+384x^39+466x^40+64x^41+100x^42+127x^44+2x^46+35x^48+2x^52

The gray image is a code over GF(2) with n=140, k=13 and d=48.
This code was found by Heurico 1.16 in 2.19 seconds.