The generator matrix

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

generates a code of length 39 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+51x^30+112x^31+255x^32+368x^33+636x^34+930x^35+1257x^36+1678x^37+1877x^38+2038x^39+1947x^40+1670x^41+1295x^42+914x^43+556x^44+362x^45+215x^46+98x^47+76x^48+18x^49+20x^50+4x^51+3x^52+1x^54+1x^56+1x^58

The gray image is a code over GF(2) with n=156, k=14 and d=60.
This code was found by Heurico 1.16 in 7.04 seconds.