Prime p₀= 2509115423270569637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2509114290382800539	0 8 38 110 138 140 150 164 204 218 228 230 258 330 360 368	-1132887769098
SPT(16)	2509114322432056319	0 2 14 38 54 102 162 168 194 200 260 308 324 348 360 362	-1100838513318
STPT(10)	2509114760442445007	0 2 30 32 72 74 114 116 144 146	-662828124630
SPT(16)	2509115042392505377	0 4 52 220 232 246 322 364 372 414 490 504 516 684 732 736	-380878064260
STPT(10)	2509115341526409401	0 2 30 32 60 62 90 92 120 122	-81744160236
SPT(16)	2509115348300071481	0 20 60 66 80 90 120 210 242 332 362 372 386 392 432 452	-74970498156
STPT(10)	2509115433756186419	0 2 48 50 90 92 132 134 180 182	10485616782
SPT(16)	2509115576685357557	0 56 74 80 86 110 140 156 164 180 210 234 240 246 264 320	153414787920
SPT(16)	2509115609775370213	0 10 30 36 66 78 100 126 178 204 226 238 268 274 294 304	186504800576
STPT(10)	2509115621047566257	0 2 24 26 42 44 60 62 84 86	197776996620
SPT(16)	2509115682024819199	0 10 12 34 48 54 94 100 132 138 178 184 198 220 222 232	258754249562