Prime p₀= 2039097647946777557 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2039096437343147191	0 16 28 66 72 106 130 148 150 168 192 226 232 270 282 298	-1210603630366
SPT(16)	2039096500553486863	0 16 40 46 60 168 178 196 210 228 238 346 360 366 390 406	-1147393290694
SPT(16)	2039096698214860409	0 98 102 132 170 212 228 240 242 254 270 312 350 380 384 482	-949731917148
SPT(16)	2039097365325598451	0 12 56 66 80 90 110 146 186 222 242 252 266 276 320 332	-282621179106
SPT(16)	2039097392108631011	0 6 20 26 50 56 120 132 176 188 252 258 282 288 302 308	-255838146546
STPT(10)	2039097435746734499	0 2 42 44 90 92 138 140 180 182	-212200043058
SPT(16)	2039098196241653809	0 30 48 58 72 148 150 160 192 202 204 280 294 304 322 352	548294876252
TPT(14)	2039098298502632891	0 2 30 32 66 68 168 170 186 188 210 212 270 272	650555855334
SPT(16)	2039098586617310209	0 40 84 88 144 160 162 190 192 220 222 238 294 298 342 382	938670532652
STPT(10)	2039099656625182139	0 2 18 20 30 32 42 44 60 62	2008678404582
STPT(10)	2039099735882498459	0 2 18 20 30 32 42 44 60 62	2087935720902