Prime p₀= 2401444146291195869 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2401442675583094613	0 26 96 134 164 186 194 264 290 360 368 390 420 458 528 554	-1470708101256
STPT(10)	2401442708900540489	0 2 18 20 30 32 42 44 60 62	-1437390655380
SPT(16)	2401443095637404453	0 38 84 90 188 258 276 290 294 308 326 396 494 500 546 584	-1050653791416
STPT(10)	2401443208089370607	0 2 30 32 42 44 54 56 84 86	-938201825262
SPT(16)	2401443219998679359	0 20 24 68 110 140 144 164 174 194 198 228 270 314 318 338	-926292516510
SPT(16)	2401444074208807183	0 28 30 34 54 58 78 84 154 160 180 184 204 208 210 238	-72082388686
STPT(10)	2401444400479476101	0 2 36 38 78 80 120 122 156 158	254188280232
SPT(16)	2401444706948381179	0 12 42 54 114 172 192 262 282 352 372 430 490 502 532 544	560657185310
SPT(16)	2401444894567052569	0 30 58 82 100 124 162 204 208 250 288 312 330 354 382 412	748275856700
SPT(16)	2401445237193288427	0 4 30 60 94 102 186 232 234 280 364 372 406 436 462 466	1090902092558
STPT(10)	2401445440228076699	0 2 78 80 120 122 162 164 240 242	1293936880830