Prime p₀= 813962584653052997 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: [SG]FX
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	813960916319662721	0 2 36 38 78 80 120 122 156 158	-1668333390276
SPT(16)	813961025141995789	0 10 60 70 84 108 112 174 238 300 304 328 342 352 402 412	-1559511057208
SPT(16)	813961229373319711	0 40 48 76 82 90 120 138 160 178 208 216 222 250 258 298	-1355279733286
SPT(16)	813961250423097787	0 6 10 24 30 66 84 90 136 142 160 196 202 216 220 226	-1334229955210
STPT(10)	813961544887269131	0 2 6 8 108 110 210 212 216 218	-1039765783866
SPT(16)	813962514949668103	0 28 76 78 120 126 148 178 186 216 238 244 286 288 336 364	-69703384894
STPT(10)	813962685615422657	0 2 30 32 42 44 54 56 84 86	100962369660
SPT(16)	813962856252295831	0 22 72 96 130 142 148 160 168 180 186 198 232 256 306 328	271599242834
STPT(10)	813962866885027829	0 2 12 14 30 32 48 50 60 62	282231974832
SPT(20)	813963626279102671	0 36 42 60 72 130 198 270 282 306 322 346 358 430 498 556 568 586 592 628	1041626049674
SPT(16)	813963740719793329	0 58 70 130 150 178 180 228 304 352 354 382 402 462 474 532	1156066740332