The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+80x^35+86x^36+94x^37+70x^38+52x^39+47x^40+38x^41+8x^42+9x^44+24x^45+1x^46+1x^48+1x^50

The gray image is a code over GF(2) with n=152, k=9 and d=70.
This code was found by Heurico 1.13 in 0.016 seconds.