The generator matrix

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

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+46x^26+64x^27+176x^28+226x^29+321x^30+356x^31+627x^32+876x^33+920x^34+1076x^35+824x^36+784x^37+623x^38+492x^39+372x^40+148x^41+118x^42+60x^43+40x^44+14x^45+15x^46+8x^48+4x^50+1x^54

The gray image is a code over GF(2) with n=140, k=13 and d=52.
This code was found by Heurico 1.16 in 2.31 seconds.