The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0  1  1 X+2  1  1  2  1  1  X  1  X  1  1  X  1  X  1  1  1  1  X  0
 0  1 X+1 X+2  1  1 X+1  0  1 X+2  3  1  0 X+1  1 X+2  3  1  2 X+3  1  X  3  1  0  0  2 X+2  2  X X+2 X+1 X+3  3  3  0  X
 0  0  2  0  0  0  0  2  2  2  2  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  2  0  0  0  2  0  2  0  0  0
 0  0  0  2  0  2  2  2  2  0  2  0  2  0  2  0  2  0  0  2  0  2  0  2  0  0  0  2  0  2  0  2  2  0  0  2  0
 0  0  0  0  2  0  2  2  2  2  0  2  0  2  0  0  2  0  2  0  2  2  0  2  2  0  0  2  2  0  2  2  2  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+123x^34+160x^36+112x^38+86x^40+20x^42+8x^44+1x^48+1x^66

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 0.233 seconds.