Prime p₀= 2316584601579156287 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2316582769612705331	0 2 78 80 108 110 138 140 216 218	-1831966450956
SPT(16)	2316582805451045513	0 18 26 54 74 104 120 126 188 194 210 240 260 288 296 314	-1796128110774
STPT(10)	2316582842998002791	0 2 36 38 78 80 120 122 156 158	-1758581153496
SPT(16)	2316582867888407809	0 22 48 70 84 94 132 150 172 190 228 238 252 274 300 322	-1733690748478
TPT(14)	2316582969011629361	0 2 96 98 138 140 156 158 330 332 348 350 378 380	-1632567526926
SPT(16)	2316583095411263179	0 34 64 70 72 78 88 100 102 114 124 130 132 138 168 202	-1506167893108
SPT(16)	2316585049587489269	0 18 44 50 54 84 114 120 218 224 254 284 288 294 320 338	448008332982
SPT(16)	2316585362412958009	0 114 130 150 172 174 192 214 240 262 280 282 304 324 340 454	760833801722
TPT(14)	2316585428577171539	0 2 12 14 72 74 138 140 168 170 210 212 300 302	826998015252
STPT(10)	2316585601416936251	0 2 78 80 108 110 138 140 216 218	999837779964
SPT(16)	2316585786757855969	0 28 42 48 52 94 118 130 132 144 168 210 214 220 234 262	1185178699682