Prime p₀= 741142990822605587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 4 2 148 2 112 2 34 2 (?)
a_n: 0 2 12 14 54 56 60 62 210 212 324 326 360 362
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: 362
Found by: Theadalus
db: batch=73, k=14, 10 40 4 148 112 34

SPT(16)	741142203361985027	0 14 26 36 56 80 110 120 170 180 210 234 254 264 276 290	-787460620560
STPT(10)	741142296678104141	0 2 6 8 18 20 30 32 36 38	-694144501446
STPT(10)	741142590385982399	0 2 18 20 30 32 42 44 60 62	-400436623188
SPT(16)	741142636152232693	0 4 10 36 70 78 96 120 214 238 256 264 298 324 330 334	-354670372894
STPT(10)	741142690249411361	0 2 6 8 18 20 30 32 36 38	-300573194226
SPT(16)	741142796371259413	0 18 60 118 126 138 186 208 258 280 328 340 348 406 448 466	-194451346174
SPT(16)	741143006857183013	0 20 48 54 90 108 150 158 180 188 230 248 284 290 318 338	16034577426
SPT(16)	741143023245022201	0 12 16 40 60 150 166 222 226 282 298 388 408 432 436 448	32422416614
STPT(10)	741143482681516001	0 2 6 8 48 50 90 92 96 98	491858910414
SPT(16)	741144119661830449	0 22 34 48 78 88 112 138 154 180 204 214 244 258 270 292	1128839224862
STPT(10)	741144128580062507	0 2 24 26 42 44 60 62 84 86	1137757456920