Prime p₀= 802110465203431997 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: szymmirr
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	802109141644238419	0 12 18 60 84 132 162 172 210 220 250 298 322 364 370 382	-1323559193578
SPT(16)	802109534978092079	0 12 18 30 50 68 90 134 138 182 204 222 242 254 260 272	-930225339918
STPT(10)	802109719876696457	0 2 30 32 72 74 114 116 144 146	-745326735540
TPT(14)	802109790237396209	0 2 90 92 240 242 258 260 270 272 420 422 438 440	-674966035788
SPT(16)	802110046023116191	0 36 60 72 82 88 102 126 142 166 180 186 196 208 232 268	-419180315806
SPT(16)	802110321859844453	0 30 68 78 84 114 120 140 234 254 260 290 296 306 344 374	-143343587544
SPT(16)	802110546634179449	0 2 14 24 62 80 98 132 140 174 192 210 248 258 270 272	81430747452
STPT(10)	802110552251713457	0 2 30 32 42 44 54 56 84 86	87048281460
STPT(10)	802110685424158079	0 2 12 14 30 32 48 50 60 62	220220726082
STPT(10)	802111537440602507	0 2 30 32 42 44 54 56 84 86	1072237170510
SPT(16)	802111564552570567	0 72 94 114 124 130 144 154 180 190 204 210 220 240 262 334	1099349138570