The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+234x^32+280x^34+573x^36+400x^38+396x^40+88x^42+66x^44+7x^48+1x^52+2x^56

The gray image is a code over GF(2) with n=148, k=11 and d=64.
This code was found by Heurico 1.16 in 7.15 seconds.