Prime p₀= 3105499626988227611 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: L@MiR
db: batch=83, k=10, 2 4 2 10 2

SPT(16)	3105498651512316791	0 2 18 78 92 116 132 176 252 296 312 336 350 410 426 428	-975475910820
TPT(14)	3105498954091612487	0 2 12 14 90 92 120 122 204 206 222 224 294 296	-672896615124
SPT(16)	3105499081089256031	0 6 48 50 56 78 116 146 222 252 290 312 318 320 362 368	-545898971580
STPT(10)	3105499484237452187	0 2 30 32 42 44 54 56 84 86	-142750775424
SPT(16)	3105499510433923543	0 10 24 30 100 118 120 234 250 364 366 384 454 460 474 484	-116554304068
STPT(12)	3105499514819151347	0 2 30 32 72 74 102 104 144 146 174 176	-112169076264
SPT(16)	3105499700016915869	0 24 42 44 68 78 150 162 170 182 254 264 288 290 308 332	73028688258
STPT(10)	3105500080287583397	0 2 12 14 42 44 72 74 84 86	453299355786
STPT(10)	3105500369899101827	0 2 30 32 102 104 174 176 204 206	742910874216
STPT(10)	3105500600695436729	0 2 30 32 60 62 90 92 120 122	973707209118
SPT(16)	3105501177814625713	0 30 40 76 90 114 144 204 250 310 340 364 378 414 424 454	1550826398102