Prime p₀= 2479651824676725761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 34 2 52 2 34 2 40 2 (?)
a_n: 0 2 30 32 60 62 96 98 150 152 186 188 228 230
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: 230
Found by: JayPi
db: batch=82, k=14, 28 28 34 52 34 40

SPT(16)	2479651146170009431	0 22 48 88 90 112 148 162 196 210 246 268 270 310 336 358	-678506716330
SPT(16)	2479651425659447401	0 22 48 60 90 136 168 220 228 280 312 358 388 400 426 448	-399017278360
SPT(16)	2479651478751535133	0 36 68 84 86 96 156 170 174 188 248 258 260 276 308 344	-345925190628
STPT(10)	2479651661246428811	0 2 6 8 18 20 30 32 36 38	-163430296950
STPT(10)	2479651707309663119	0 2 48 50 60 62 72 74 120 122	-117367062642
SPT(16)	2479651721352975893	0 8 36 38 98 110 138 168 176 206 234 246 306 308 336 344	-103323749868
STPT(10)	2479652106904764401	0 2 36 38 78 80 120 122 156 158	282228038640
STPT(10)	2479652422309355717	0 2 12 14 72 74 132 134 144 146	597632629956
SPT(16)	2479652697905734291	0 6 12 36 40 58 72 118 120 166 180 198 202 226 232 238	873229008530
SPT(16)	2479652708516450771	0 12 56 96 98 110 146 152 156 162 198 210 212 252 296 308	883839725010
SPT(16)	2479652807820177181	0 40 58 82 112 180 192 300 310 418 430 498 528 552 570 610	983143451420