Prime p₀= 2267693964288364397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 58 2 202 2 46 2 130 2 154 2 (?)
a_n: 0 2 60 62 120 122 324 326 372 374 504 506 660 662
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: 662
Found by: JayPi
db: batch=81, k=14, 58 58 202 46 130 154

SPT(16)	2267691389303970559	0 4 12 24 28 40 54 70 72 88 102 114 118 130 138 142	-2574984393838
TPT(14)	2267691742429246451	0 2 6 8 36 38 48 50 90 92 138 140 336 338	-2221859117946
SPT(18)	2267693169090100399	0 4 42 160 168 180 258 312 330 382 400 454 532 544 552 670 708 712	-795198263998
SPT(16)	2267693183939697727	0 16 24 42 52 54 76 124 252 300 322 324 334 352 360 376	-780348666670
TPT(16)	2267693701159247951	0 2 36 38 78 80 120 122 126 128 228 230 258 260 330 332	-263129116446
SPT(16)	2267693798573059513	0 28 30 34 54 90 114 118 180 184 208 244 264 268 270 298	-165715304884
STPT(10)	2267693996790866009	0 2 42 44 60 62 78 80 120 122	32502501612
SPT(16)	2267694388519933391	0 2 12 32 42 110 126 132 140 146 162 230 240 260 270 272	424231568994
SPT(16)	2267694642372332353	0 6 36 70 88 96 108 120 136 148 160 168 186 220 250 256	678083967956
SPT(16)	2267694785354908409	0 8 30 42 68 84 104 108 194 198 218 234 260 272 294 302	821066544012
SPT(16)	2267694861683629111	0 6 10 48 108 130 132 196 282 346 348 370 430 468 472 478	897395264714