Prime p₀= 1016579769361141169 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

TPT(14)	1016578846735196231	0 2 60 62 90 92 126 128 168 170 180 182 186 188	-922625944938
STPT(10)	1016578892552392847	0 2 12 14 42 44 72 74 84 86	-876808748322
STPT(10)	1016579000469311297	0 2 12 14 72 74 132 134 144 146	-768891829872
SPT(16)	1016579126235497141	0 32 48 108 128 150 168 210 248 290 308 330 350 410 426 458	-643125644028
STPT(10)	1016579244171783569	0 2 12 14 90 92 168 170 180 182	-525189357600
SPT(16)	1016579664525117949	0 34 42 54 64 100 114 142 180 208 222 258 268 280 288 322	-104836023220
STPT(10)	1016579932665499637	0 2 30 32 42 44 54 56 84 86	163304358468
SPT(16)	1016580008348645131	0 28 46 48 52 88 102 180 208 286 300 336 340 342 360 388	238987503962
SPT(16)	1016580287504864263	0 10 18 30 34 70 76 84 100 108 114 150 154 166 174 184	518143723094
SPT(13)	1016580357213904181	0 6 12 30 72 90 156 222 240 282 300 306 312	587852763012
STPT(10)	1016580559430255777	0 2 12 14 42 44 72 74 84 86	790069114608