Prime p₀= 2571960749239361729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2571959692351588457	0 2 42 44 114 116 162 164 204 206 270 272 330 332	-1056887773272
STPT(10)	2571959982088100039	0 2 42 44 60 62 78 80 120 122	-767151261690
SPT(16)	2571959997749084363	0 36 66 84 114 170 204 240 254 290 324 380 410 428 458 494	-751490277366
TPT(14)	2571960030763449707	0 2 42 44 120 122 210 212 234 236 300 302 390 392	-718475912022
SPT(16)	2571960263658274007	0 12 30 36 44 50 72 116 120 164 186 192 200 206 224 236	-485581087722
STPT(10)	2571960288524252441	0 2 6 8 48 50 90 92 96 98	-460715109288
STPT(10)	2571960857918529377	0 2 24 26 42 44 60 62 84 86	108679167648
STPT(10)	2571961524451544801	0 2 36 38 78 80 120 122 156 158	775212183072
SPT(16)	2571961794871139771	0 2 36 48 62 200 288 308 360 380 468 606 620 632 666 668	1045631778042
SPT(16)	2571961906158828629	0 20 24 50 78 84 110 132 140 162 188 194 222 248 252 272	1156919466900
SPT(16)	2571962100925100641	0 6 16 30 42 46 58 60 88 90 102 106 118 132 142 148	1351685738912