Prime p₀= 2533172437036433669 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 16 2 28 2 28 2 40 2 (?)
a_n: 0 2 78 80 120 122 138 140 168 170 198 200 240 242
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: [SG-FC] hl
db: batch=82, k=14, 76 40 16 28 28 40

SPT(16)	2533171368029725463	0 14 36 126 134 146 174 200 204 230 258 270 278 368 390 404	-1069006708206
STPT(10)	2533171565323528991	0 2 36 38 78 80 120 122 156 158	-871712904678
STPT(10)	2533171664669533241	0 2 6 8 48 50 90 92 96 98	-772366900428
SPT(16)	2533172028225350279	0 14 62 74 78 84 108 164 228 284 308 314 318 330 378 392	-408811083390
STPT(10)	2533172226792300827	0 2 30 32 42 44 54 56 84 86	-210244132842
SPT(16)	2533172313246231851	0 6 36 42 56 80 116 146 162 192 228 252 266 272 302 308	-123790201818
STPT(10)	2533172876155782557	0 2 30 32 72 74 114 116 144 146	439119348888
STPT(10)	2533173019687488557	0 2 30 32 42 44 54 56 84 86	582651054888
STPT(10)	2533173241888691177	0 2 12 14 42 44 72 74 84 86	804852257508
SPT(16)	2533173272401381111	0 22 40 90 106 108 132 150 178 196 220 222 238 288 306 328	835364947442
SPT(16)	2533173389950530361	0 42 82 90 102 130 198 228 250 280 348 376 388 396 436 478	952914096692