Prime p₀= 2326775746523352767 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

SPT(16)	2326774019027482121	0 30 38 102 122 126 138 140 168 170 182 186 206 270 278 308	-1727495870646
STPT(10)	2326774949578195157	0 2 30 32 42 44 54 56 84 86	-796945157610
SPT(16)	2326775060336136601	0 36 46 66 136 148 192 220 228 256 300 312 382 402 412 448	-686187216166
SPT(16)	2326775278550140373	0 8 14 30 50 54 140 168 170 198 284 288 308 324 330 338	-467973212394
STPT(10)	2326775373918061271	0 2 6 8 18 20 30 32 36 38	-372605291496
SPT(16)	2326775568748147571	0 18 38 48 66 80 108 146 162 200 228 242 260 270 290 308	-177775205196
SPT(16)	2326775976655568369	0 32 50 120 152 182 194 200 222 228 240 270 302 372 390 422	230132215602
SPT(16)	2326776226168603813	0 10 94 154 174 184 190 196 324 330 336 346 366 426 510 520	479645251046
SPT(16)	2326776581631407407	0 6 12 24 42 46 84 112 144 172 210 214 232 244 250 256	835108054640
SPT(16)	2326776964784197487	0 66 104 126 204 224 234 246 260 272 282 302 380 402 440 506	1218260844720
STPT(10)	2326777248148313669	0 2 42 44 60 62 78 80 120 122	1501624960902