Prime p₀= 1268523106064564771 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Megacruncher
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1268522914640322911	0 56 128 176 260 296 300 302 336 338 342 378 462 510 582 638	-191424241860
SPT(16)	1268522964165943903	0 18 70 114 120 124 130 138 190 198 204 208 214 258 310 328	-141898620868
TPT(14)	1268523003633457421	0 2 78 80 90 92 108 110 150 152 168 170 180 182	-102431107350
STPT(12)	1268523003633457499	0 2 12 14 30 32 72 74 90 92 102 104	-102431107272
SPT(16)	1268523022828192063	0 10 18 148 154 174 184 214 594 624 634 654 660 790 798 808	-83236372708
SPT(16)	1268523044499204727	0 10 34 60 114 126 132 136 150 154 160 172 226 252 276 286	-61565360044
TPT(14)	1268523132896652317	0 2 42 44 84 86 102 104 144 146 240 242 312 314	26832087546
STPT(10)	1268523608687334887	0 2 30 32 42 44 54 56 84 86	502622770116
SPT(16)	1268523627700363691	0 2 20 30 68 138 150 152 228 230 242 312 350 360 378 380	521635798920
STPT(10)	1268523741192718247	0 2 30 32 42 44 54 56 84 86	635128153476
SPT(16)	1268523866990381857	0 16 30 64 66 76 126 142 204 220 270 280 282 316 330 346	760925817086