Prime p₀= 1167568976452635269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Theadalus
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1167567878296425973	0 30 76 78 100 138 160 196 288 324 346 384 406 408 454 484	-1098156209296
STPT(10)	1167568386663471641	0 2 30 32 60 62 90 92 120 122	-589789163628
SPT(16)	1167568438405979399	0 32 38 54 60 72 150 174 248 272 350 362 368 384 390 422	-538046655870
SPT(16)	1167568585074446483	0 18 74 78 120 126 140 168 236 264 278 284 326 330 386 404	-391378188786
STPT(10)	1167568719950526071	0 2 6 8 48 50 90 92 96 98	-256502109198
STPT(10)	1167568868072750327	0 2 30 32 60 62 90 92 120 122	-108379884942
TPT(14)	1167569133033983969	0 2 198 200 252 254 282 284 342 344 420 422 498 500	156581348700
TPT(14)	1167569668714156661	0 2 30 32 90 92 156 158 228 230 270 272 288 290	692261521392
STPT(10)	1167569751167595047	0 2 24 26 42 44 60 62 84 86	774714959778
STPT(10)	1167569880081241331	0 2 36 38 78 80 120 122 156 158	903628606062
SPT(18)	1167570169151569367	0 2 30 116 132 216 230 242 252 260 270 282 296 380 396 482 510 512	1192698934098