The generator matrix

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

generates a code of length 39 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+90x^35+148x^36+146x^37+126x^38+64x^39+112x^40+138x^41+91x^42+52x^43+22x^44+16x^45+4x^46+4x^48+2x^49+3x^50+2x^51+2x^53+1x^56

The gray image is a code over GF(2) with n=156, k=10 and d=70.
This code was found by Heurico 1.16 in 0.0527 seconds.