Prime p₀= 2319730351413614141 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2319729378845883047	0 32 84 110 150 156 176 186 260 270 290 296 336 362 414 446	-972567731094
SPT(16)	2319729490251976703	0 6 26 60 98 120 146 216 278 348 374 396 434 468 488 494	-861161637438
STPT(10)	2319729550716610727	0 2 30 32 60 62 90 92 120 122	-800697003414
STPT(10)	2319729607519295327	0 2 42 44 72 74 102 104 144 146	-743894318814
STPT(10)	2319729646353821729	0 2 18 20 30 32 42 44 60 62	-705059792412
SPT(16)	2319729966832826423	0 36 44 56 96 116 176 228 236 288 348 368 408 420 428 464	-384580787718
STPT(10)	2319730572320420681	0 2 36 38 78 80 120 122 156 158	220906806540
STPT(10)	2319730880734313237	0 2 42 44 72 74 102 104 144 146	529320699096
SPT(16)	2319731012448249739	0 22 34 48 70 82 84 108 124 148 150 162 184 198 210 232	661034635598
STPT(10)	2319731388267654971	0 2 30 32 78 80 126 128 156 158	1036854040830
SPT(16)	2319732862756997999	0 12 50 78 128 134 138 150 152 164 168 174 224 252 290 302	2511343383858