Prime p₀= 2070736099017258551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 64 2 52 2 58 2 124 2 (?)
a_n: 0 2 48 50 60 62 126 128 180 182 240 242 366 368
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: 368
Found by: Landjunge
db: batch=80, k=14, 46 10 64 52 58 124

SPT(16)	2070734422635230797	0 34 42 84 100 130 174 222 232 280 324 354 370 412 420 454	-1676382027754
SPT(16)	2070734451827616697	0 136 154 162 180 202 222 342 364 484 504 526 544 552 570 706	-1647189641854
TPT(14)	2070734498359765661	0 2 66 68 90 92 96 98 150 152 168 170 210 212	-1600657492890
STPT(12)	2070734805254959091	0 2 66 68 78 80 138 140 150 152 216 218	-1293762299460
STPT(10)	2070735425128704179	0 2 18 20 30 32 42 44 60 62	-673888554372
STPT(10)	2070735462089056877	0 2 30 32 102 104 174 176 204 206	-636928201674
STPT(10)	2070736139805749321	0 2 6 8 48 50 90 92 96 98	40788490770
SPT(16)	2070736394899473731	0 30 128 150 156 162 248 282 356 390 476 482 488 510 608 638	295882215180
STPT(10)	2070736535822256737	0 2 30 32 42 44 54 56 84 86	436804998186
SPT(16)	2070736538160613003	0 16 46 90 108 120 130 148 156 174 184 196 214 258 288 304	439143354452
SPT(16)	2070736568698253329	0 24 90 130 142 174 180 262 300 382 388 420 432 472 538 562	469680994778