Prime p₀= 2117865075963790121 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 58 2 106 2 28 2 16 2 (?)
a_n: 0 2 48 50 90 92 150 152 258 260 288 290 306 308
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 308
Found by: Landjunge
db: batch=80, k=14, 46 40 58 106 28 16

STPT(10)	2117862983746143419	0 2 30 32 60 62 90 92 120 122	-2092217646702
SPT(16)	2117863897812652541	0 18 30 56 60 110 116 140 168 192 198 248 252 278 290 308	-1178151137580
SPT(16)	2117864327240883707	0 2 6 30 72 120 132 140 162 170 182 230 272 296 300 302	-748722906414
SPT(16)	2117864603366382239	0 20 42 48 68 102 110 122 210 222 230 264 284 290 312 332	-472597407882
SPT(16)	2117864831211176507	0 26 84 126 144 150 152 236 300 384 386 392 410 452 510 536	-244752613614
STPT(10)	2117865034620630311	0 2 30 32 78 80 126 128 156 158	-41343159810
TPT(14)	2117865195467890541	0 2 78 80 96 98 126 128 156 158 180 182 210 212	119504100420
SPT(16)	2117865672905776441	0 18 60 82 90 102 112 148 180 216 226 238 246 268 310 328	596941986320
STPT(10)	2117865735855469667	0 2 12 14 72 74 132 134 144 146	659891679546
STPT(10)	2117865935538942929	0 2 18 20 30 32 42 44 60 62	859575152808
STPT(10)	2117865952105130369	0 2 18 20 30 32 42 44 60 62	876141340248