Prime p₀= 886288258531451309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 28 2 82 2 46 2 28 2 (?)
a_n: 0 2 30 32 48 50 78 80 162 164 210 212 240 242
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: 242
Found by: schoussi
db: batch=73, k=14, 28 16 28 82 46 28

SPT(16)	886286935315211719	0 58 108 132 144 150 198 202 210 214 262 268 280 304 354 412	-1323216239590
SPT(16)	886287282800132833	0 46 58 60 88 100 118 126 130 138 156 168 196 198 210 256	-975731318476
STPT(10)	886287310661385299	0 2 42 44 60 62 78 80 120 122	-947870066010
SPT(16)	886288022357513417	0 6 74 146 162 224 234 246 290 302 312 374 390 462 530 536	-236173937892
STPT(10)	886288043366970089	0 2 18 20 30 32 42 44 60 62	-215164481220
STPT(10)	886288193237482037	0 2 30 32 72 74 114 116 144 146	-65293969272
SPT(16)	886288423409723221	0 30 60 66 90 130 132 136 192 196 198 238 262 268 298 328	164878271912
SPT(16)	886289692913661893	0 26 30 36 80 98 104 108 236 240 246 264 308 314 318 344	1434382210584
STPT(10)	886290150936555191	0 2 30 32 78 80 126 128 156 158	1892405103882
STPT(10)	886290310460765261	0 2 6 8 18 20 30 32 36 38	2051929313952
SPT(16)	886290312645400141	0 10 42 90 118 120 136 178 180 222 238 240 268 316 348 358	2054113948832