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

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+45x^34+116x^35+123x^36+54x^37+34x^38+66x^39+26x^40+10x^41+13x^42+10x^43+9x^44+4x^46+1x^56

The gray image is a code over GF(2) with n=148, k=9 and d=68.
This code was found by Heurico 1.13 in 0.015 seconds.