Prime p₀= 2234246967438125501 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 28 2 22 2 34 2 22 2 (?)
a_n: 0 2 30 32 66 68 96 98 120 122 156 158 180 182
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: 182
Found by: Penguin
db: batch=81, k=14, 28 34 28 22 34 22

SPT(16)	2234245797268581487	0 10 42 76 96 100 166 174 262 270 336 340 360 394 426 436	-1170169544014
SPT(16)	2234245803509338709	0 24 44 62 72 90 104 132 182 210 224 242 252 270 290 314	-1163928786792
SPT(16)	2234245993143291143	0 8 14 30 56 66 164 210 254 300 398 408 434 450 456 464	-974294834358
SPT(16)	2234246257328564617	0 4 36 42 90 102 132 144 232 244 274 286 334 340 372 376	-710109560884
TPT(14)	2234246611955446607	0 2 54 56 114 116 162 164 180 182 204 206 210 212	-355482678894
SPT(16)	2234246697333816391	0 10 36 52 66 102 120 160 162 202 220 256 270 286 312 322	-270104309110
SPT(16)	2234247455145604537	0 36 42 66 90 136 214 220 396 402 480 526 550 574 580 616	487707479036
SPT(16)	2234247593173098973	0 54 126 136 184 186 210 220 240 250 274 276 324 334 406 460	625734973472
STPT(10)	2234248301822727101	0 2 6 8 18 20 30 32 36 38	1334384601600
STPT(10)	2234248768533413309	0 2 18 20 30 32 42 44 60 62	1801095287808
STPT(10)	2234249326206628607	0 2 30 32 60 62 90 92 120 122	2358768503106