Prime p₀= 2507821179637303349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 28 2 70 2 16 2 10 2 (?)
a_n: 0 2 42 44 78 80 108 110 180 182 198 200 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=14, 40 34 28 70 16 10

SPT(16)	2507819539788708029	0 8 78 80 152 162 170 180 320 330 338 348 420 422 492 500	-1639848595320
STPT(10)	2507819619600472361	0 2 30 32 60 62 90 92 120 122	-1560036830988
SPT(16)	2507819779724963419	0 18 52 78 94 118 148 150 172 174 204 228 244 270 304 322	-1399912339930
STPT(10)	2507820047484175181	0 2 6 8 18 20 30 32 36 38	-1132153128168
STPT(10)	2507820326527259057	0 2 30 32 42 44 54 56 84 86	-853110044292
STPT(10)	2507820631504405499	0 2 18 20 60 62 102 104 120 122	-548132897850
SPT(16)	2507821245074595157	0 30 36 82 112 136 142 154 222 234 240 264 294 340 346 376	65437291808
STPT(10)	2507821434113981309	0 2 18 20 30 32 42 44 60 62	254476677960
SPT(16)	2507821443860140973	0 68 74 120 126 168 180 186 218 224 236 278 284 330 336 404	264222837624
SPT(16)	2507821558815090983	0 14 90 98 156 164 236 258 296 318 390 398 456 464 540 554	379177787634
TPT(14)	2507821563797891741	0 2 156 158 180 182 306 308 318 320 360 362 408 410	384160588392