Prime p₀= 2081674284888663611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 310 2 16 2 40 2 4 2 (?)
a_n: 0 2 66 68 108 110 420 422 438 440 480 482 486 488
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: 488
Found by: Orange Kid
db: batch=80, k=14, 64 40 310 16 40 4

SPT(16)	2081672806278281101	0 6 22 40 88 90 118 156 172 210 238 240 288 306 322 328	-1478610382510
SPT(16)	2081672849783270869	0 30 34 42 90 94 124 132 160 168 198 202 250 258 262 292	-1435105392742
STPT(10)	2081673184820439137	0 2 54 56 72 74 90 92 144 146	-1100068224474
SPT(16)	2081673394868410087	0 6 52 160 192 210 330 336 370 376 496 514 546 654 700 706	-890020253524
SPT(16)	2081673426386701319	0 8 42 50 72 90 98 102 170 174 182 200 222 230 264 272	-858501962292
SPT(16)	2081674200092533279	0 48 58 78 190 270 288 298 354 364 382 462 574 594 604 652	-84796130332
SPT(16)	2081674311943497379	0 12 28 42 52 54 84 94 108 118 148 150 160 174 190 202	27054833768
SPT(16)	2081674343702193937	0 6 16 100 126 130 154 186 214 246 270 274 300 384 394 400	58813530326
TPT(14)	2081674489715493707	0 2 24 26 84 86 114 116 150 152 180 182 240 242	204826830096
STPT(12)	2081674489715493731	0 2 60 62 90 92 126 128 156 158 216 218	204826830120
STPT(10)	2081674756315914437	0 2 60 62 72 74 84 86 144 146	471427250826