Prime p₀= 802099024942412291 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: GLeeM
db: batch=73, k=10, 2 4 2 40 2

STPT(10)	802098531567741347	0 2 30 32 60 62 90 92 120 122	-493374670944
SPT(16)	802098570045442777	0 22 24 30 42 64 142 144 160 162 240 262 274 280 282 304	-454896969514
STPT(10)	802098714083470619	0 2 12 14 90 92 168 170 180 182	-310858941672
STPT(10)	802098898232543687	0 2 12 14 42 44 72 74 84 86	-126709868604
SPT(16)	802099012678641647	0 26 30 54 56 90 144 146 180 182 236 270 272 296 300 326	-12263770644
SPT(16)	802099022692131509	0 30 72 102 132 158 198 212 258 272 312 338 368 398 440 470	-2250280782
TPT(14)	802099567291286267	0 2 12 14 132 134 150 152 174 176 222 224 234 236	542348873976
SPT(16)	802099698076926121	0 28 36 42 78 88 108 112 186 190 210 220 256 262 270 298	673134513830
TPT(14)	802099896098578991	0 2 6 8 60 62 240 242 258 260 270 272 300 302	871156166700
STPT(10)	802100023607148377	0 2 42 44 72 74 102 104 144 146	998664736086
SPT(16)	802100121873091777	0 4 42 82 84 114 142 154 282 294 322 352 354 394 432 436	1096930679486