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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+39x^30+32x^31+117x^32+160x^33+109x^34+128x^35+100x^36+160x^37+102x^38+32x^39+33x^40+3x^42+3x^44+2x^46+1x^48+1x^52+1x^54

The gray image is a code over GF(2) with n=140, k=10 and d=60.
This code was found by Heurico 1.16 in 0.0386 seconds.