Prime p₀= 2338457559937334597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 34 2 22 2 28 2 28 2 4 2 (?)
a_n: 0 2 24 26 60 62 84 86 114 116 144 146 150 152
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: 152
Found by: Landjunge
db: batch=81, k=14, 22 34 22 28 28 4

TPT(14)	2338456139949361139	0 2 30 32 108 110 138 140 162 164 168 170 198 200	-1419987973458
SPT(16)	2338456502120865173	0 6 26 104 126 146 180 210 290 320 354 374 396 474 494 500	-1057816469424
STPT(10)	2338456521445493297	0 2 30 32 60 62 90 92 120 122	-1038491841300
SPT(16)	2338456797112796167	0 10 12 16 96 106 120 132 184 196 210 220 300 304 306 316	-762824538430
STPT(10)	2338456851029692541	0 2 30 32 78 80 126 128 156 158	-708907642056
STPT(10)	2338456985658772211	0 2 30 32 78 80 126 128 156 158	-574278562386
STPT(10)	2338458305038994681	0 2 6 8 48 50 90 92 96 98	745101660084
STPT(10)	2338458572934919451	0 2 30 32 78 80 126 128 156 158	1012997584854
SPT(16)	2338458681634522519	0 72 78 108 142 172 190 252 340 402 420 450 484 514 520 592	1121697187922
SPT(16)	2338458840770984131	0 12 70 90 100 120 132 148 222 238 250 270 280 300 358 370	1280833649534
SPT(16)	2338458957754151833	0 58 90 118 130 178 196 216 238 258 276 324 336 364 396 454	1397816817236