Prime p₀= 782369738521319167 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 6 30 30 54 30 30 54 30 30 6 36 (?)
a_n: 0 36 42 72 102 156 186 216 270 300 330 336 372
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 372
Found by: KPX
db: batch=73, k=13, 36 6 30 30 54 30

SPT(16)	782368591422847333	0 6 36 60 88 106 120 130 144 154 168 186 214 238 268 274	-1147098471834
SPT(16)	782368736396747021	0 18 26 36 48 60 78 96 140 158 176 188 200 210 218 236	-1002124572146
SPT(16)	782368816520527427	0 42 66 92 102 144 162 210 266 314 332 374 384 410 434 476	-922000791740
STPT(10)	782369075728990829	0 2 48 50 60 62 72 74 120 122	-662792328338
STPT(10)	782369174668961219	0 2 18 20 30 32 42 44 60 62	-563852357948
SPT(16)	782369449772162411	0 12 32 60 102 132 152 188 222 258 278 308 350 378 398 410	-288749156756
STPT(10)	782370642580042247	0 2 30 32 42 44 54 56 84 86	904058723080
STPT(10)	782370656727878129	0 2 18 20 30 32 42 44 60 62	918206558962
STPT(10)	782370659912672837	0 2 30 32 42 44 54 56 84 86	921391353670
TPT(14)	782370838597218317	0 2 72 74 102 104 144 146 150 152 210 212 252 254	1100075899150
SPT(16)	782370950212063243	0 16 48 54 66 70 114 126 148 160 204 208 220 226 258 274	1211690744076