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  X  1  1  0  1  1  X  1  0  X  0  X  0  2
 0  X  0 X+2  0 X+2  0 X+2  2 X+2  0 X+2  X  0 X+2  2 X+2  0  2  0 X+2  X  2 X+2  X  0  X  0  2 X+2  2  X X+2  X X+2  X  0
 0  0  2  0  0  0  0  0  2  0  0  2  2  2  0  2  0  0  2  2  2  0  0  0  2  2  0  2  2  0  2  0  2  0  2  2  2
 0  0  0  2  0  0  0  2  0  0  0  2  0  0  2  0  2  2  2  2  0  2  2  0  0  2  0  0  0  2  2  2  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  2  2  0  2  0  2  2  0  2  2  0  0  0  2  0  2  2  0  0  2  2  0  0  2  0  0  2  2
 0  0  0  0  0  2  0  2  0  2  2  0  0  2  2  0  0  0  2  0  0  2  2  2  2  0  0  2  2  0  0  2  0  0  2  0  2
 0  0  0  0  0  0  2  0  2  0  2  0  0  0  2  0  2  2  2  0  2  2  2  2  0  0  2  2  0  0  2  0  2  0  0  2  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+130x^32+144x^34+276x^36+160x^38+211x^40+80x^42+12x^44+9x^48+1x^56

The gray image is a code over GF(2) with n=148, k=10 and d=64.
This code was found by Heurico 1.16 in 0.0626 seconds.