The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  1  X X+2  X  1  1  1  1  1 X+2 X+2  1  1  1  2  X  2  X  1  1  1  1  1  X  2  1  0
 0  1  0  X  1 X+3  1 X+2  0  2  1 X+1  1  1  X  1 X+1 X+3  X  2  1  1  1  3 X+2  1  1  X  X  0  0  0  3  3  1  1 X+3  0
 0  0  1  1 X+3 X+2  1 X+3 X+2  1  1  0  X X+1  1  X X+1  1  X  1 X+1  0 X+2  1  0  1 X+2  1  1  2 X+2 X+1 X+1  0 X+1 X+1  1  X
 0  0  0  2  0  0  0  0  2  2  0  0  2  2  0  0  0  0  0  2  0  2  2  2  2  0  2  0  0  0  0  2  0  2  2  2  2  2
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  2  2  0  2  0  0  0  2  2  2  2  2  0  0  2  0  2  2  2  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  0  2  0  2  2  0  0  2  0  0  2  2  0  2  2  2  0  2  0  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  2  0  0  2  2  0  2  0  2  0  0  2  2  0  0  2  2  0  0
 0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  0  0  2  2  0  2  0  2  2  0  2  0  0  2  2  2  2  0  0  0  0

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+94x^30+168x^31+397x^32+528x^33+998x^34+1328x^35+1573x^36+2048x^37+2074x^38+2096x^39+1635x^40+1360x^41+938x^42+496x^43+336x^44+160x^45+112x^46+8x^47+22x^48+8x^50+3x^52+1x^56

The gray image is a code over GF(2) with n=152, k=14 and d=60.
This code was found by Heurico 1.16 in 5.79 seconds.