Prime p₀= 2291241277144024547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 136 2 52 2 76 2 40 2 124 2 (?)
a_n: 0 2 42 44 180 182 234 236 312 314 354 356 480 482
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: 482
Found by: JonS
db: batch=81, k=14, 40 136 52 76 40 124

SPT(16)	2291239525668533269	0 4 18 40 48 60 130 162 250 282 352 364 372 394 408 412	-1751475491278
SPT(16)	2291239973074209457	0 10 24 76 102 154 196 244 252 300 342 394 420 472 486 496	-1304069815090
SPT(16)	2291240303356626001	0 28 66 78 100 106 112 132 136 156 162 168 190 202 240 268	-973787398546
STPT(10)	2291240740659152369	0 2 42 44 90 92 138 140 180 182	-536484872178
SPT(16)	2291240800555984621	0 66 108 142 172 186 192 196 222 226 232 246 276 310 352 418	-476588039926
STPT(10)	2291240866764579641	0 2 6 8 18 20 30 32 36 38	-410379444906
STPT(10)	2291241792946189607	0 2 30 32 42 44 54 56 84 86	515802165060
STPT(10)	2291241999209961779	0 2 18 20 60 62 102 104 120 122	722065937232
STPT(10)	2291242385108209787	0 2 42 44 72 74 102 104 144 146	1107964185240
STPT(10)	2291242387602941621	0 2 30 32 60 62 90 92 120 122	1110458917074
SPT(16)	2291242916849453473	0 40 46 60 78 96 154 166 168 180 238 256 274 288 294 334	1639705428926