Prime p₀= 1261128414584470847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 118 2 46 2 118 2 10 2 34 2 (?)
a_n: 0 2 84 86 204 206 252 254 372 374 384 386 420 422
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: 422
Found by: vaughan
db: batch=77, k=14, 82 118 46 118 10 34

STPT(10)	1261127764950500267	0 2 60 62 72 74 84 86 144 146	-649633970580
STPT(10)	1261127949678430331	0 2 36 38 78 80 120 122 156 158	-464906040516
SPT(16)	1261128288754594213	0 4 64 90 118 120 126 130 144 148 154 156 184 210 270 274	-125829876634
SPT(16)	1261128382150396757	0 54 74 86 92 110 116 144 152 180 186 204 210 222 242 296	-32434074090
SPT(16)	1261128397432391333	0 60 96 108 110 126 180 206 258 284 338 354 356 368 404 464	-17152079514
SPT(16)	1261128405701227213	0 10 40 66 78 90 94 118 126 150 154 166 178 204 234 244	-8883243634
SPT(16)	1261128510589743203	0 18 30 128 150 158 234 308 360 434 510 518 540 638 650 668	96005272356
STPT(10)	1261128651744044957	0 2 30 32 42 44 54 56 84 86	237159574110
SPT(16)	1261128807631420187	0 14 26 84 92 120 152 174 182 204 236 264 272 330 342 356	393046949340
SPT(16)	1261128852592603061	0 2 42 48 72 86 110 126 182 198 222 236 260 266 306 308	438008132214
SPT(16)	1261129036332623951	0 6 30 36 42 50 78 80 138 140 168 176 182 188 212 218	621748153104