Prime p₀= 2828154821312249249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 10 2 58 2 28 2 4 2 (?)
a_n: 0 2 30 32 60 62 72 74 132 134 162 164 168 170
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: 170
Found by: [SG-FC] hl
db: batch=82, k=14, 28 28 10 58 28 4

STPT(10)	2828152914477028277	0 2 42 44 72 74 102 104 144 146	-1906835220972
SPT(16)	2828153010249069911	0 2 48 108 150 168 200 212 246 258 290 308 350 410 456 458	-1811063179338
STPT(10)	2828153654115171209	0 2 18 20 60 62 102 104 120 122	-1167197078040
STPT(10)	2828154042778896191	0 2 6 8 48 50 90 92 96 98	-778533353058
STPT(10)	2828154193889162231	0 2 36 38 78 80 120 122 156 158	-627423087018
SPT(18)	2828154751934597893	0 48 54 78 106 120 168 184 196 288 300 316 364 378 406 430 436 484	-69377651356
SPT(20)	2828155191955151209	0 30 54 78 82 112 180 222 250 282 340 372 400 442 510 540 544 568 592 622	370642901960
SPT(16)	2828155577403826399	0 52 72 90 118 132 168 202 210 244 280 294 322 340 360 412	756091577150
SPT(16)	2828155818128834383	0 24 28 84 94 144 150 198 220 268 274 324 334 390 394 418	996816585134
SPT(16)	2828156012979786529	0 10 40 118 144 160 172 190 192 210 222 238 264 342 372 382	1191667537280
STPT(10)	2828156032342634429	0 2 42 44 60 62 78 80 120 122	1211030385180