The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+96x^34+40x^35+133x^36+48x^37+70x^38+40x^39+52x^40+12x^42+13x^44+6x^46+1x^64

The gray image is a code over GF(2) with n=148, k=9 and d=68.
This code was found by Heurico 1.16 in 100 seconds.