Prime p₀= 2573564837513013101 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2573563773553314281	0 6 48 90 110 146 192 200 258 266 312 348 368 410 452 458	-1063959698820
STPT(10)	2573564144051571701	0 2 30 32 60 62 90 92 120 122	-693461441400
STPT(10)	2573564173887594869	0 2 42 44 60 62 78 80 120 122	-663625418232
SPT(16)	2573564448393049591	0 22 42 46 72 76 90 112 120 142 156 160 186 190 210 232	-389119963510
SPT(16)	2573564605308546989	0 38 54 72 140 152 170 192 200 222 240 252 320 338 354 392	-232204466112
SPT(16)	2573564797233384649	0 22 28 34 58 78 100 114 238 252 274 294 318 324 330 352	-40279628452
SPT(16)	2573564843237844857	0 32 42 90 120 134 162 174 200 212 240 254 284 332 342 374	5724831756
TPT(14)	2573565176236893197	0 2 72 74 84 86 102 104 132 134 384 386 414 416	338723880096
STPT(10)	2573565600741659297	0 2 12 14 72 74 132 134 144 146	763228646196
SPT(16)	2573565794983109887	0 6 10 34 36 52 142 154 192 204 294 310 312 336 340 346	957470096786
STPT(10)	2573565964522615367	0 2 30 32 42 44 54 56 84 86	1127009602266