The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  0  1  1 X+2  1  1  0  1  1  1 X+2  1  1  0  1  0  1  1 X+2  1  1  1  0  2  0  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  1  0  3  1 X+2 X+1  1 X+1  0 X+2  1  3  0  1 X+2  1 X+1  3  1 X+1 X+1  0  1  1  1  0  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  2  2  0  0  2  2  0  2  0  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  2  2  0  2  0  2  2  2  0  0  2  0  2  0  0  0  2  2  2  2  2  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  0  2  2  2  2  2  2  2  0  0  0  0  0  0  2  2  0  2  0  2  0  0  0  0  2  0
 0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  0  2  0  0  0  2  0  2  0  0  2  2  2  0  0  2  2  0  2  0  2  0  0  2
 0  0  0  0  0  0  2  0  0  2  2  0  0  2  2  0  0  2  0  2  0  0  2  0  2  0  2  0  0  2  2  2  0  2  0  0  2  0  0
 0  0  0  0  0  0  0  2  0  2  0  0  0  0  0  0  2  2  2  2  0  2  0  2  2  2  0  2  2  0  0  2  0  2  0  0  2  0  2
 0  0  0  0  0  0  0  0  2  0  2  2  0  0  2  2  2  2  0  0  0  2  0  2  0  2  0  0  2  2  0  0  2  2  0  2  2  2  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+40x^30+24x^31+114x^32+80x^33+331x^34+288x^35+941x^36+432x^37+1651x^38+400x^39+1662x^40+432x^41+946x^42+288x^43+310x^44+80x^45+82x^46+24x^47+31x^48+19x^50+13x^52+3x^54

The gray image is a code over GF(2) with n=156, k=13 and d=60.
This code was found by Heurico 1.16 in 1.88 seconds.