Prime p₀= 2199286418417883209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 46 2 10 2 124 2 (?)
a_n: 0 2 30 32 42 44 72 74 120 122 132 134 258 260
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: 260
Found by: Orange Kid
db: batch=81, k=14, 28 10 28 46 10 124

SPT(16)	2199285161023481561	0 20 66 78 120 150 158 200 216 258 266 296 338 350 396 416	-1257394401648
TPT(14)	2199285188946013601	0 2 138 140 240 242 276 278 318 320 396 398 486 488	-1229471869608
STPT(10)	2199285624550958297	0 2 12 14 72 74 132 134 144 146	-793866924912
SPT(16)	2199285808298746757	0 6 32 56 72 80 126 150 182 206 252 260 276 300 326 332	-610119136452
SPT(16)	2199285965212831753	0 24 48 58 76 90 100 174 280 354 364 378 396 406 430 454	-453205051456
STPT(10)	2199286371339294449	0 2 42 44 60 62 78 80 120 122	-47078588760
SPT(16)	2199286973216272339	0 12 58 64 72 114 124 144 148 168 178 220 228 234 280 292	554798389130
SPT(16)	2199287166000224681	0 12 66 108 150 156 188 212 216 240 272 278 320 362 416 428	747582341472
STPT(10)	2199288238540056437	0 2 42 44 72 74 102 104 144 146	1820122173228
STPT(10)	2199288383391961229	0 2 18 20 30 32 42 44 60 62	1964974078020
SPT(16)	2199288694885139173	0 70 94 120 154 156 184 186 238 240 268 270 304 330 354 424	2276467255964