Prime p₀= 2352714261256276259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 46 2 70 2 16 2 22 2 (?)
a_n: 0 2 18 20 60 62 108 110 180 182 198 200 222 224
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: 224
Found by: Landjunge
db: batch=81, k=14, 16 40 46 70 16 22

SPT(16)	2352712960114256431	0 16 40 60 70 72 112 118 150 156 196 198 208 228 252 268	-1301142019828
TPT(14)	2352712970252068979	0 2 42 44 102 104 198 200 240 242 258 260 282 284	-1291004207280
SPT(16)	2352713305694340623	0 30 80 108 110 156 216 240 266 290 350 396 398 426 476 506	-955561935636
SPT(16)	2352713603483951251	0 36 42 52 70 102 108 118 120 130 136 168 186 196 202 238	-657772325008
SPT(16)	2352713648690657911	0 46 58 72 126 138 220 310 528 618 700 712 766 780 792 838	-612565618348
TPT(14)	2352713983664340341	0 2 36 38 108 110 138 140 180 182 210 212 288 290	-277591935918
SPT(16)	2352714335622800129	0 18 30 38 44 110 144 168 224 248 282 348 354 362 374 392	74366523870
SPT(16)	2352714804228946753	0 4 10 46 66 70 84 88 186 190 204 208 228 264 270 274	542972670494
SPT(16)	2352715153792069657	0 24 42 52 64 114 120 132 142 154 160 210 222 232 250 274	892535793398
STPT(10)	2352715169450074067	0 2 60 62 72 74 84 86 144 146	908193797808
SPT(16)	2352715466064620939	0 2 44 50 72 84 104 132 170 198 218 230 252 258 300 302	1204808344680