The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 X 1 1 0 X 1 1 X 1 1 X 1 X 1 X
0 X 0 0 0 0 0 2 2 X X+2 X X X X+2 X 0 X+2 2 X X X X 0 X+2 X X+2 X+2 X+2 0 X+2 X 2 2 X+2 X 0
0 0 X 0 0 2 X+2 X X X X X X+2 0 0 0 2 2 X+2 X 0 X X X+2 X 2 2 2 0 X+2 2 0 2 X+2 X X+2 2
0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 0 X X 2 X 2 X+2 0 2 X 2 0 0 X+2 X+2 X+2 X 2 X+2 X+2 2 X 2 X+2 X+2
0 0 0 0 X X 2 X+2 X X+2 2 2 X 2 X+2 X X 2 2 X+2 X+2 X 2 2 0 X+2 0 X 2 2 2 2 X+2 X X+2 2 X
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+295x^32+156x^34+688x^36+360x^38+393x^40+28x^42+104x^44+22x^48+1x^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 26.5 seconds.