The generator matrix

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

generates a code of length 30 over Z2[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+34x^18+30x^19+152x^20+224x^21+492x^22+640x^23+1014x^24+1436x^25+1875x^26+2506x^27+2994x^28+3328x^29+3322x^30+3376x^31+2809x^32+2520x^33+2021x^34+1458x^35+1068x^36+640x^37+408x^38+176x^39+142x^40+44x^41+37x^42+6x^43+10x^44+2x^46+2x^48+1x^50

The gray image is a linear code over GF(2) with n=60, k=15 and d=18.
This code was found by Heurico 1.16 in 29 seconds.