The generator matrix

 1  0  0  0  0  0  0  1  1  1  1  0  X  1  X  0  1  1  1  0  1  X  X  X  1  1  0  X  1  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0 X+1 X+1  1  X  1  X  X  1  1  X  X  1 X+1  1
 0  0  1  0  0  0  0  0  0 X+1  X  1  1  1  1  X  X  1  1  0 X+1  0  1  0  1 X+1  0  1  X  1
 0  0  0  1  0  0  0  0 X+1  1  X  0 X+1  X  0  0  0  1  X  X  1  1  0  1 X+1  1  0  1 X+1  0
 0  0  0  0  1  0  0  0  1  0  1  X X+1  1  1  1 X+1  1 X+1  1  X  1  0  X X+1  1  X  1  1  0
 0  0  0  0  0  1  0  1  0  1 X+1  X X+1  1  0 X+1  X  1  X X+1  0  X X+1  0  0  0  1 X+1 X+1 X+1
 0  0  0  0  0  0  1  1 X+1  X  X X+1  1 X+1  1 X+1 X+1 X+1  1  0 X+1 X+1 X+1  1  0  X  1  0 X+1 X+1
 0  0  0  0  0  0  0  X  X  0  0  X  X  0  0  0  0  X  X  X  0  0  0  0  X  0  X  X  X  0

generates a code of length 30 over Z2[X]/(X^2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+228x^20+995x^22+2120x^24+3758x^26+5767x^28+6776x^30+6027x^32+4020x^34+1986x^36+779x^38+244x^40+54x^42+11x^44+2x^46

The gray image is a linear code over GF(2) with n=60, k=15 and d=20.
This code was found by Heurico 1.16 in 48.5 seconds.