Prime p₀= 802098898232543687 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: GLeeM
db: batch=73, k=10, 2 10 2 28 2

SPT(18)	802098318750707527	0 6 52 106 150 156 160 190 220 222 252 282 286 292 336 390 436 442	-579481836160
SPT(16)	802098400969220207	0 6 14 54 72 74 80 146 150 216 222 224 242 282 290 296	-497263323480
SPT(16)	802098478706046103	0 10 18 28 30 46 66 84 130 148 168 184 186 196 204 214	-419526497584
STPT(10)	802098531567741347	0 2 30 32 60 62 90 92 120 122	-366664802340
SPT(16)	802098570045442777	0 22 24 30 42 64 142 144 160 162 240 262 274 280 282 304	-328187100910
STPT(10)	802098714083470619	0 2 12 14 90 92 168 170 180 182	-184149073068
SPT(16)	802099012678641647	0 26 30 54 56 90 144 146 180 182 236 270 272 296 300 326	114446097960
SPT(16)	802099022692131509	0 30 72 102 132 158 198 212 258 272 312 338 368 398 440 470	124459587822
STPT(10)	802099024942412291	0 2 6 8 48 50 90 92 96 98	126709868604
TPT(14)	802099567291286267	0 2 12 14 132 134 150 152 174 176 222 224 234 236	669058742580
SPT(16)	802099698076926121	0 28 36 42 78 88 108 112 186 190 210 220 256 262 270 298	799844382434