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 X+2  1  1  1  X  1  1  0  1  1  2  X  0  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+1  1 X+2  3  1  2 X+3  1 X+2  1  3  3  X  1  0 X+1  1  0 X+2  0 X+2  X X+1  2
 0  0  2  0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  0  0  0  0  0  2  0  2  2  2  2  2  0  0  2  2  0  2  2
 0  0  0  2  0  0  2  2  0  2  0  2  0  2  2  2  0  0  2  0  2  0  0  2  2  0  2  2  0  0  2  0  0  2  0  2  0
 0  0  0  0  2  0  2  0  2  2  2  2  0  2  0  0  2  0  2  2  2  0  0  0  0  0  2  2  2  0  0  0  2  0  2  2  2
 0  0  0  0  0  2  0  2  2  2  0  2  2  0  2  0  2  0  2  2  0  2  0  2  2  2  0  2  2  0  0  0  0  0  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+47x^32+68x^33+121x^34+96x^35+165x^36+72x^37+147x^38+80x^39+102x^40+52x^41+47x^42+16x^43+2x^44+5x^46+1x^48+1x^56+1x^60

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 0.0428 seconds.