Prime p₀= 2854814921956498181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 58 2 76 2 76 2 130 2 (?)
a_n: 0 2 18 20 30 32 90 92 168 170 246 248 378 380
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: 380
Found by: JayPi
db: batch=82, k=14, 16 10 58 76 76 130

TPT(14)	2854813107670596431	0 2 36 38 60 62 78 80 210 212 216 218 228 230	-1814285901750
SPT(16)	2854813664747153731	0 6 10 30 40 52 66 90 118 142 156 168 178 198 202 208	-1257209344450
SPT(16)	2854813680926256229	0 24 48 82 108 112 118 130 252 264 270 274 300 334 358 382	-1241030241952
STPT(10)	2854813714168455887	0 2 12 14 42 44 72 74 84 86	-1207788042294
SPT(13)	2854813966160417533	0 6 24 54 96 174 180 186 264 306 336 354 360	-955796080648
SPT(16)	2854814699344192639	0 10 42 70 94 118 150 160 162 172 204 228 252 280 312 322	-222612305542
SPT(16)	2854814947749683521	0 12 36 78 82 96 148 172 246 270 322 336 340 382 406 418	25793185340
SPT(16)	2854815406700854483	0 6 66 84 118 150 168 196 228 256 274 306 340 358 418 424	484744356302
SPT(16)	2854815847237270517	0 12 24 56 66 80 102 116 150 164 186 200 210 242 254 266	925280772336
SPT(16)	2854815874972663219	0 18 52 60 88 100 144 154 228 238 282 294 322 330 364 382	953016165038
SPT(16)	2854815915759207583	0 24 54 58 108 124 126 166 198 238 240 256 306 310 340 364	993802709402