The generator matrix

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

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+269x^34+330x^36+226x^38+77x^40+73x^42+40x^44+8x^46

The gray image is a code over GF(2) with n=148, k=10 and d=68.
This code was found by Heurico 1.16 in 0.07 seconds.