The generator matrix

 1  0  1  1  1  0  1  1  2  1  1 X+2  1  1  1  0  1 X+2  1  1  1 X+2  1  1 X+2  1  1 X+2  1  X  1  2  X  0  X  1  1  1
 0  1  1  0  1  1 X+1  2  1  0 X+3  1 X+2 X+2 X+1  1 X+3  1  2  X  X  1  2 X+1  1 X+1 X+3  1  0  1  1  1  2  X  1  X X+3  2
 0  0  X  0  0  0  0  X  X  X X+2  X  0 X+2  2  2  X  X  0  0 X+2  2 X+2 X+2  2  2  X  X  2  0  X  X  2  2 X+2  X  0  0
 0  0  0  X  0 X+2  X  X X+2  2  X  0  2  X  2  X  X  0  2  2  2  2 X+2  2  2  X X+2  X  X X+2  0  X  0 X+2  X  2  0  0
 0  0  0  0  X  0  X X+2 X+2  X  2  X  2  X  2 X+2 X+2  0  X X+2  0  0  2  X  X  2  0  2  X  X  2  0  X X+2 X+2  2  X X+2
 0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  2  2  2  0  2  2  0  2  0  0  2  2  2  2  2  2  2  2  2  2  0  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+29x^30+82x^31+221x^32+236x^33+582x^34+490x^35+1094x^36+734x^37+1304x^38+754x^39+1096x^40+474x^41+526x^42+198x^43+192x^44+82x^45+51x^46+12x^47+18x^48+10x^49+4x^50+2x^52

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 1.96 seconds.