Prime p₀= 1275229475272464191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 28 2 136 2 10 2 4 2 (?)
a_n: 0 2 6 8 30 32 60 62 198 200 210 212 216 218
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: 218
Found by: HenkM
db: batch=77, k=14, 4 22 28 136 10 4

SPT(16)	1275227775185812807	0 16 60 94 106 144 210 214 216 220 286 324 336 370 414 430	-1700086651384
STPT(10)	1275228032066987861	0 2 30 32 78 80 126 128 156 158	-1443205476330
SPT(16)	1275228801395031803	0 26 48 66 80 168 216 260 276 320 368 456 470 488 510 536	-673877432388
STPT(10)	1275228842666118251	0 2 6 8 18 20 30 32 36 38	-632606345940
SPT(16)	1275229220412402193	0 58 60 78 108 130 136 144 190 198 204 226 256 274 276 334	-254860061998
SPT(16)	1275229269831803813	0 14 80 98 108 114 116 128 186 198 200 206 216 234 300 314	-205440660378
SPT(16)	1275229597136413291	0 10 52 90 148 156 228 240 358 370 442 450 508 546 588 598	121863949100
SPT(16)	1275229741510214339	0 2 12 42 80 92 122 134 210 222 252 264 302 332 342 344	266237750148
SPT(16)	1275230047783086529	0 4 18 28 102 112 168 172 210 214 270 280 354 364 378 382	572510622338
SPT(20)	1275230187796203763	0 4 34 40 46 48 66 78 148 204 220 276 346 358 376 378 384 390 420 424	712523739572
SPT(16)	1275230321277458719	0 10 18 28 34 40 60 144 154 238 258 264 270 280 288 298	846004994528