The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  X  2  1  X  1  2  1  1  1
 0  2  0  0  0  0  0  0  0  2  2  2  0  0  0  0  0  2  0  2  2  0  2  0  0  2  2  2  2  2  0  0  2  0  0  2  2
 0  0  2  0  0  0  0  0  2  2  2  2  0  2  0  2  0  2  2  0  0  2  0  0  2  0  2  0  2  2  0  0  0  2  0  2  0
 0  0  0  2  0  0  0  0  2  0  0  2  0  2  0  2  2  2  0  2  2  0  0  2  2  0  0  0  0  0  2  2  0  2  0  2  2
 0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  2  2  0  2  0  0  0  2  0
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  0  2  0  0  2  2  0  2  0  0  2  2  0  0  0  0  2  2  2  2  2  0
 0  0  0  0  0  0  2  0  2  2  0  0  0  2  2  2  0  2  0  0  2  2  2  2  0  0  2  2  2  0  2  0  0  0  0  0  2
 0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  0  0  2  2  0  2  2  0  0  0  2  2  0  0  0  0  0  2  2  2  0  2

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+122x^32+80x^34+128x^35+256x^37+160x^38+128x^39+104x^40+16x^42+28x^48+1x^64

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 27 seconds.