The generator matrix

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

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+82x^24+54x^26+404x^28+64x^29+718x^30+384x^31+1952x^32+960x^33+2860x^34+1280x^35+3114x^36+960x^37+1772x^38+384x^39+901x^40+64x^41+222x^42+160x^44+6x^46+39x^48+2x^52+1x^56

The gray image is a code over GF(2) with n=140, k=14 and d=48.
This code was found by Heurico 1.16 in 5.08 seconds.