Prime p₀= 2062586672487689189 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 82 2 94 2 10 2 10 2 28 2 (?)
a_n: 0 2 48 50 132 134 228 230 240 242 252 254 282 284
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: 284
Found by: Landjunge
db: batch=80, k=14, 46 82 94 10 10 28

SPT(16)	2062585345867583633	0 20 38 90 96 98 120 150 176 206 228 230 236 288 306 326	-1326620105556
SPT(16)	2062585815535377581	0 8 80 102 158 168 182 212 408 438 452 462 518 540 612 620	-856952311608
STPT(10)	2062586151708000179	0 2 18 20 30 32 42 44 60 62	-520779689010
SPT(16)	2062586492384848943	0 60 78 116 140 144 170 186 188 204 230 234 258 296 314 374	-180102840246
SPT(16)	2062586553667580723	0 24 60 80 116 126 144 156 158 170 188 198 234 254 290 314	-118820108466
STPT(10)	2062586599332036059	0 2 42 44 60 62 78 80 120 122	-73155653130
SPT(16)	2062587304833044929	0 42 58 90 108 120 132 172 300 340 352 364 382 414 430 472	632345355740
SPT(16)	2062587421838283559	0 48 84 94 108 118 150 154 168 172 204 214 228 238 274 322	749350594370
SPT(16)	2062588076450523431	0 8 60 78 98 168 176 210 218 252 260 330 350 368 420 428	1403962834242
STPT(10)	2062588152903268997	0 2 30 32 42 44 54 56 84 86	1480415579808
SPT(16)	2062588579611756967	0 46 52 60 66 70 166 180 196 210 306 310 316 324 330 376	1907124067778