Prime p₀= 1186449122344422887 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1186447610833089037	0 4 34 42 82 90 94 96 130 132 136 144 184 192 222 226	-1511511333850
SPT(18)	1186447612401203303	0 6 56 74 84 86 110 116 134 180 198 204 228 230 240 258 308 314	-1509943219584
SPT(16)	1186448111685955357	0 12 30 52 94 136 156 166 240 250 270 312 354 376 394 406	-1010658467530
STPT(10)	1186448551916230121	0 2 36 38 78 80 120 122 156 158	-570428192766
STPT(10)	1186449024461421689	0 2 132 134 150 152 168 170 300 302	-97883001198
STPT(10)	1186449113195905367	0 2 54 56 72 74 90 92 144 146	-9148517520
SPT(18)	1186449346083668311	0 60 72 150 166 190 270 276 288 340 352 358 438 462 478 556 568 628	223739245424
SPT(16)	1186449386895002959	0 58 70 78 102 150 190 222 280 312 352 400 424 432 444 502	264550580072
SPT(16)	1186449418501329431	0 12 30 50 56 168 176 182 276 282 290 402 408 428 446 458	296156906544
STPT(10)	1186449431569427297	0 2 30 32 42 44 54 56 84 86	309225004410
STPT(10)	1186449982491883847	0 2 90 92 132 134 174 176 264 266	860147460960