Prime p₀= 1016579244171783569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: stoneageman
db: batch=76, k=10, 2 10 2 76 2

STPT(10)	1016578331139532331	0 2 30 32 78 80 126 128 156 158	-913032251238
SPT(18)	1016578370736953699	0 8 24 38 50 72 78 90 98 204 212 224 230 252 264 278 294 302	-873434829870
TPT(14)	1016578846735196231	0 2 60 62 90 92 126 128 168 170 180 182 186 188	-397436587338
STPT(10)	1016578892552392847	0 2 12 14 42 44 72 74 84 86	-351619390722
STPT(10)	1016579000469311297	0 2 12 14 72 74 132 134 144 146	-243702472272
SPT(16)	1016579126235497141	0 32 48 108 128 150 168 210 248 290 308 330 350 410 426 458	-117936286428
SPT(16)	1016579664525117949	0 34 42 54 64 100 114 142 180 208 222 258 268 280 288 322	420353334380
STPT(10)	1016579769361141169	0 2 18 20 30 32 42 44 60 62	525189357600
STPT(10)	1016579932665499637	0 2 30 32 42 44 54 56 84 86	688493716068
SPT(16)	1016580008348645131	0 28 46 48 52 88 102 180 208 286 300 336 340 342 360 388	764176861562
SPT(16)	1016580287504864263	0 10 18 30 34 70 76 84 100 108 114 150 154 166 174 184	1043333080694