Prime p₀= 1062728516243667137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Theadalus
db: batch=76, k=10, 2 40 2 28 2

STPT(10)	1062726503640107807	0 2 54 56 72 74 90 92 144 146	-2012603559330
SPT(16)	1062726950156740007	0 20 74 90 122 132 144 164 210 230 242 252 284 300 354 374	-1566086927130
SPT(16)	1062727063376347129	0 22 60 94 118 124 132 178 204 250 258 264 288 322 360 382	-1452867320008
STPT(10)	1062727347715141391	0 2 6 8 48 50 90 92 96 98	-1168528525746
SPT(16)	1062727542578836493	0 6 14 36 78 90 176 198 266 288 374 386 428 450 458 464	-973664830644
SPT(16)	1062727701577429837	0 10 22 24 42 52 60 94 180 214 222 232 250 252 264 274	-814666237300
STPT(10)	1062728664981924119	0 2 12 14 90 92 168 170 180 182	148738256982
SPT(16)	1062729328440342671	0 38 56 92 170 182 210 258 290 338 366 378 456 492 510 548	812196675534
STPT(10)	1062729468601865807	0 2 12 14 42 44 72 74 84 86	952358198670
SPT(16)	1062729535726263241	0 22 40 58 72 106 130 148 180 198 222 256 270 288 306 328	1019482596104
SPT(16)	1062729851866794883	0 10 16 30 36 78 100 210 226 336 358 400 406 420 426 436	1335623127746