Prime p₀= 3105500080287583397 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: L@MiR
db: batch=83, k=10, 2 10 2 28 2

SPT(16)	3105499081089256031	0 6 48 50 56 78 116 146 222 252 290 312 318 320 362 368	-999198327366
STPT(10)	3105499484237452187	0 2 30 32 42 44 54 56 84 86	-596050131210
SPT(16)	3105499510433923543	0 10 24 30 100 118 120 234 250 364 366 384 454 460 474 484	-569853659854
STPT(12)	3105499514819151347	0 2 30 32 72 74 102 104 144 146 174 176	-565468432050
STPT(10)	3105499626988227611	0 2 6 8 18 20 30 32 36 38	-453299355786
SPT(16)	3105499700016915869	0 24 42 44 68 78 150 162 170 182 254 264 288 290 308 332	-380270667528
STPT(10)	3105500369899101827	0 2 30 32 102 104 174 176 204 206	289611518430
STPT(10)	3105500600695436729	0 2 30 32 60 62 90 92 120 122	520407853332
SPT(16)	3105501177814625713	0 30 40 76 90 114 144 204 250 310 340 364 378 414 424 454	1097527042316
TPT(14)	3105501230993637977	0 2 42 44 90 92 132 134 144 146 282 284 294 296	1150706054580
STPT(10)	3105501773856736559	0 2 48 50 90 92 132 134 180 182	1693569153162