Prime p₀= 1311712482692574407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Theadalus
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1311710641347757499	0 2 30 32 60 62 90 92 120 122	-1841344816908
SPT(16)	1311710769767463431	0 20 36 80 92 116 120 146 186 212 216 240 252 296 312 332	-1712925110976
SPT(16)	1311711223704773537	0 66 114 120 140 170 176 200 216 240 246 276 296 302 350 416	-1258987800870
TPT(14)	1311711298832776967	0 2 102 104 144 146 222 224 240 242 264 266 270 272	-1183859797440
STPT(10)	1311711716263138217	0 2 30 32 42 44 54 56 84 86	-766429436190
SPT(16)	1311712059279764011	0 42 72 78 126 130 148 156 232 240 258 262 310 316 346 388	-423412810396
STPT(10)	1311712855867541201	0 2 6 8 48 50 90 92 96 98	373174966794
SPT(16)	1311713258544839389	0 40 42 52 54 72 94 142 162 210 232 250 252 262 264 304	775852264982
SPT(16)	1311713499689748607	0 30 46 64 70 72 106 130 156 180 214 216 222 240 256 286	1016997174200
SPT(16)	1311714125360836151	0 26 66 80 86 120 126 140 276 290 296 330 336 350 390 416	1642668261744
SPT(16)	1311714131464352191	0 10 28 58 78 132 142 192 286 336 346 400 420 450 468 478	1648771777784