Prime p₀= 1347294419122475039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 46 2 58 2 22 2 16 2 16 2 (?)
a_n: 0 2 60 62 108 110 168 170 192 194 210 212 228 230
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: 230
Found by: Theadalus
db: batch=77, k=14, 58 46 58 22 16 16

SPT(20)	1347293299783183127	0 26 84 110 116 176 200 222 300 306 350 356 434 456 480 540 546 572 630 656	-1119339291912
SPT(16)	1347293854595799373	0 30 64 70 118 126 138 160 294 316 328 336 384 390 424 454	-564526675666
SPT(16)	1347293952093151057	0 10 36 120 150 154 184 270 286 372 402 406 436 520 546 556	-467029323982
TPT(14)	1347293958461478281	0 2 36 38 78 80 156 158 246 248 258 260 300 302	-460660996758
SPT(16)	1347294207399350207	0 30 44 50 60 86 90 92 264 266 270 296 306 312 326 356	-211723124832
STPT(10)	1347294324187065827	0 2 24 26 42 44 60 62 84 86	-94935409212
SPT(16)	1347294514104786347	0 36 74 104 140 162 170 176 210 216 224 246 282 312 350 386	94982311308
STPT(10)	1347294589199834447	0 2 30 32 42 44 54 56 84 86	170077359408
STPT(10)	1347294673985242859	0 2 30 32 60 62 90 92 120 122	254862767820
SPT(16)	1347294852710459161	0 6 12 22 28 90 138 196 222 280 328 390 396 406 412 418	433587984122
SPT(16)	1347295518506527847	0 54 56 74 90 140 144 200 300 356 360 410 426 444 446 500	1099384052808