Prime p₀= 2950451366984277839 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 28 2 4 2 28 2 40 2 (?)
a_n: 0 2 12 14 102 104 132 134 138 140 168 170 210 212
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: 212
Found by: Landjunge
db: batch=82, k=14, 10 88 28 4 28 40

STPT(10)	2950450678009434371	0 2 30 32 78 80 126 128 156 158	-688974843468
STPT(10)	2950450816864840307	0 2 12 14 72 74 132 134 144 146	-550119437532
SPT(16)	2950450849942754443	0 10 18 76 108 120 186 190 234 238 304 316 348 406 414 424	-517041523396
SPT(16)	2950450930662054503	0 14 48 50 56 104 138 150 164 176 210 258 264 266 300 314	-436322223336
STPT(10)	2950451086212006731	0 2 6 8 48 50 90 92 96 98	-280772271108
STPT(10)	2950451245714852091	0 2 36 38 78 80 120 122 156 158	-121269425748
STPT(10)	2950451367291893417	0 2 30 32 42 44 54 56 84 86	307615578
STPT(10)	2950451470526022899	0 2 42 44 60 62 78 80 120 122	103541745060
SPT(16)	2950451572769966099	0 8 32 42 48 60 84 104 288 308 332 344 350 360 384 392	205785688260
SPT(16)	2950451902963803071	0 30 92 108 122 158 170 176 312 318 330 366 380 396 458 488	535979525232
STPT(10)	2950451949818395619	0 2 42 44 60 62 78 80 120 122	582834117780