Prime p₀= 819894620396863787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=73, k=10, 2 10 2 28 2

TPT(14)	819893451437391389	0 2 42 44 48 50 78 80 90 92 132 134 168 170	-1168959472398
SPT(16)	819893509006297379	0 2 8 30 78 80 114 122 180 188 222 224 272 294 300 302	-1111390566408
STPT(10)	819894427217589089	0 2 42 44 60 62 78 80 120 122	-193179274698
SPT(16)	819894492932071597	0 22 60 66 82 84 106 112 144 150 172 174 190 196 234 256	-127464792190
SPT(16)	819894501152737193	0 24 50 60 98 128 140 170 198 228 240 270 308 318 344 368	-119244126594
SPT(16)	819894565273168457	0 20 30 86 156 176 212 216 290 294 330 350 420 476 486 506	-55123695330
STPT(10)	819894732065396129	0 2 18 20 30 32 42 44 60 62	111668532342
STPT(10)	819894957625949207	0 2 30 32 60 62 90 92 120 122	337229085420
STPT(10)	819895043990152589	0 2 18 20 30 32 42 44 60 62	423593288802
SPT(16)	819896156992887479	0 30 32 102 110 140 152 212 252 312 324 354 362 432 434 464	1536596023692
SPT(16)	819896160378976771	0 28 30 46 60 100 210 216 220 226 336 376 390 406 408 436	1539982112984