Prime p₀= 1249315725544386551 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Skivelitis2
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1249314988080218221	0 78 82 136 142 166 178 198 220 240 252 276 282 336 340 418	-737464168330
SPT(16)	1249315020014155573	0 58 66 78 90 118 120 150 244 274 276 304 316 328 336 394	-705530230978
SPT(16)	1249315022897527823	0 6 30 56 68 86 96 108 146 158 168 186 198 224 248 254	-702646858728
STPT(10)	1249315211823918059	0 2 42 44 60 62 78 80 120 122	-513720468492
STPT(10)	1249315231566576929	0 2 18 20 30 32 42 44 60 62	-493977809622
TPT(14)	1249315400777925287	0 2 42 44 72 74 144 146 174 176 204 206 210 212	-324766461264
SPT(16)	1249315770058532717	0 30 50 60 120 132 242 272 354 384 494 506 566 576 596 626	44514146166
STPT(10)	1249316097395365211	0 2 36 38 78 80 120 122 156 158	371850978660
STPT(10)	1249316254782756989	0 2 48 50 90 92 132 134 180 182	529238370438
SPT(16)	1249316257428930497	0 6 30 56 66 86 92 120 176 204 210 230 240 266 290 296	531884543946
STPT(10)	1249316416562130809	0 2 12 14 90 92 168 170 180 182	691017744258