Prime p₀= 2352239841640294301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 100 2 64 2 28 2 52 2 4 2 (?)
a_n: 0 2 48 50 150 152 216 218 246 248 300 302 306 308
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=81, k=14, 46 100 64 28 52 4

STPT(10)	2352237812005642019	0 2 18 20 30 32 42 44 60 62	-2029634652282
STPT(12)	2352238814500508147	0 2 12 14 84 86 210 212 282 284 294 296	-1027139786154
STPT(10)	2352238863668405651	0 2 30 32 60 62 90 92 120 122	-977971888650
SPT(18)	2352238939022986661	0 8 42 50 90 126 176 216 218 270 272 312 362 398 438 446 480 488	-902617307640
SPT(16)	2352239655141225571	0 22 60 78 142 150 168 262 366 460 478 486 550 568 606 628	-186499068730
SPT(16)	2352239670686894491	0 6 10 46 60 88 112 126 142 156 180 208 222 258 262 268	-170953399810
STPT(10)	2352240606125801717	0 2 30 32 42 44 54 56 84 86	764485507416
SPT(16)	2352241345728670211	0 12 26 50 98 126 138 140 168 170 182 210 258 282 296 308	1504088375910
SPT(18)	2352241724088029009	0 14 78 80 104 132 144 218 222 230 234 308 320 348 372 374 438 452	1882447734708
SPT(16)	2352242169288406327	0 34 60 144 162 174 184 274 282 372 382 394 412 496 522 556	2327648112026
SPT(16)	2352242584065728573	0 20 66 90 104 114 126 140 150 164 176 186 200 224 270 290	2742425434272