The generator matrix

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

generates a code of length 39 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+304x^32+44x^33+358x^34+188x^35+1093x^36+508x^37+1196x^38+588x^39+1599x^40+452x^41+888x^42+244x^43+499x^44+20x^45+116x^46+4x^47+79x^48+2x^50+7x^52+1x^56+1x^60

The gray image is a code over GF(2) with n=156, k=13 and d=64.
This code was found by Heurico 1.16 in 26.6 seconds.