Prime p₀= 3679923419300167181 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: Sphynx
db: batch=84, k=10, 2 4 2 10 2

STPT(10)	3679922758483159451	0 2 6 8 48 50 90 92 96 98	-660817007730
SPT(16)	3679922925913765579	0 54 88 100 112 124 130 154 168 192 198 210 222 234 268 322	-493386401602
SPT(16)	3679922958391989899	0 24 62 72 120 134 144 150 182 188 198 212 260 270 308 332	-460908177282
STPT(10)	3679923057926812517	0 2 60 62 72 74 84 86 144 146	-361373354664
SPT(16)	3679923213083548183	0 96 148 154 156 210 258 280 294 316 364 418 420 426 478 574	-206216618998
STPT(10)	3679923301131862451	0 2 6 8 18 20 30 32 36 38	-118168304730
SPT(16)	3679923994705209863	0 8 30 44 68 86 108 140 204 236 258 276 300 314 336 344	575405042682
SPT(13)	3679924313694048481	0 12 18 42 48 78 90 102 132 138 162 168 180	894393881300
STPT(10)	3679924637616254717	0 2 30 32 42 44 54 56 84 86	1218316087536
STPT(10)	3679924773595962251	0 2 6 8 48 50 90 92 96 98	1354295795070
SPT(16)	3679925236327475671	0 42 46 106 112 172 180 250 372 442 450 510 516 576 580 622	1817027308490