Prime p₀= 2116963311270284129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 28 2 28 2 28 2 76 2 (?)
a_n: 0 2 48 50 72 74 102 104 132 134 162 164 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 46 22 28 28 28 76

SPT(16)	2116962349803057881	0 26 56 78 80 126 168 176 252 260 302 348 350 372 402 428	-961467226248
SPT(16)	2116962467671831667	0 24 32 60 90 104 140 164 192 216 252 266 296 324 332 356	-843598452462
SPT(16)	2116962661722754501	0 10 42 60 88 90 138 210 220 292 340 342 370 388 420 430	-649547529628
SPT(16)	2116962896466257351	0 2 12 96 116 122 152 180 182 210 240 246 266 350 360 362	-414804026778
STPT(10)	2116962908317508057	0 2 42 44 72 74 102 104 144 146	-402952776072
STPT(12)	2116963137383959019	0 2 42 44 72 74 78 80 108 110 150 152	-173886325110
STPT(10)	2116963556195537627	0 2 30 32 42 44 54 56 84 86	244925253498
SPT(16)	2116963885375996837	0 4 6 10 22 34 42 112 144 214 222 234 246 250 252 256	574105712708
STPT(10)	2116963949883199559	0 2 18 20 30 32 42 44 60 62	638612915430
SPT(16)	2116964056637431217	0 2 12 30 80 86 104 146 150 192 210 216 266 284 294 296	745367147088
SPT(16)	2116964129389659379	0 4 18 30 112 144 148 162 250 264 268 300 382 394 408 412	818119375250