Prime p₀= 741707751649890227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 94 2 22 2 34 2 22 2 (?)
a_n: 0 2 42 44 114 116 210 212 234 236 270 272 294 296
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: 296
Found by: Theadalus
db: batch=73, k=14, 40 70 94 22 34 22

STPT(10)	741706621021071227	0 2 30 32 42 44 54 56 84 86	-1130628819000
SPT(16)	741706801960294039	0 52 70 72 102 114 184 220 294 330 400 412 442 444 462 514	-949689596188
SPT(16)	741706819378023223	0 6 40 54 58 64 84 106 138 160 180 186 190 204 238 244	-932271867004
SPT(20)	741707064431747629	0 4 18 54 64 70 88 108 178 220 222 264 334 354 372 378 388 424 438 442	-687218142598
STPT(10)	741707591118629699	0 2 48 50 90 92 132 134 180 182	-160531260528
SPT(16)	741707604556499083	0 28 70 76 90 96 154 166 258 270 328 334 348 354 396 424	-147093391144
STPT(10)	741707773615363727	0 2 30 32 42 44 54 56 84 86	21965473500
SPT(16)	741707975917824089	0 18 32 80 84 102 114 132 140 158 170 188 192 240 254 272	224267933862
SPT(16)	741708003593551447	0 12 24 76 82 190 220 222 244 246 276 384 390 442 454 466	251943661220
SPT(16)	741708011802692029	0 28 34 84 112 160 222 228 274 280 342 390 418 468 474 502	260152801802
SPT(16)	741708240727336523	0 14 50 110 116 146 236 284 330 378 468 498 504 564 600 614	489077446296