The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+90x^27+174x^28+354x^29+563x^30+820x^31+1152x^32+1782x^33+2242x^34+2078x^35+2122x^36+1826x^37+1301x^38+834x^39+442x^40+306x^41+133x^42+80x^43+44x^44+20x^45+16x^46+2x^47+1x^48+1x^50

The gray image is a code over GF(2) with n=140, k=14 and d=54.
This code was found by Heurico 1.16 in 40.1 seconds.