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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+148x^30+465x^32+630x^34+192x^35+1065x^36+832x^37+1486x^38+832x^39+1181x^40+192x^41+636x^42+335x^44+130x^46+56x^48+10x^50+1x^64

The gray image is a code over GF(2) with n=152, k=13 and d=60.
This code was found by Heurico 1.16 in 2.75 seconds.