Prime p₀= 2097532161360686579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 10 2 76 2

SPT(16)	2097531151145880997	0 52 54 106 150 154 162 166 180 184 192 196 240 292 294 346	-1010214805582
SPT(16)	2097531273751884623	0 20 48 50 56 60 66 78 146 158 164 168 174 176 204 224	-887608801956
STPT(10)	2097531371081482667	0 2 60 62 102 104 144 146 204 206	-790279203912
SPT(16)	2097531583958657881	0 6 30 48 52 66 72 130 138 196 202 216 220 238 262 268	-577402028698
SPT(16)	2097531903527576701	0 6 42 72 76 82 160 162 196 198 276 282 286 316 352 358	-257833109878
STPT(10)	2097532152647692457	0 2 12 14 72 74 132 134 144 146	-8712994122
SPT(16)	2097532184056665773	0 14 48 54 68 84 104 128 156 180 200 216 230 236 270 284	22695979194
SPT(16)	2097532392361679683	0 28 34 64 126 138 148 166 168 186 196 208 270 300 306 334	231000993104
STPT(10)	2097532895407672571	0 2 30 32 60 62 90 92 120 122	734046985992
TPT(14)	2097532939253485649	0 2 42 44 60 62 108 110 240 242 282 284 318 320	777892799070
SPT(16)	2097533000669202469	0 10 28 42 64 72 94 112 150 168 190 198 220 234 252 262	839308515890