Prime p₀= 2040168259179197039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 10 2 10 2 16 2 106 2 (?)
a_n: 0 2 12 14 48 50 60 62 72 74 90 92 198 200
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: 200
Found by: Dingo
db: batch=80, k=14, 10 34 10 10 16 106

SPT(16)	2040166956152526007	0 10 24 52 60 72 102 130 156 184 214 226 234 262 276 286	-1303026671032
SPT(16)	2040167050007598121	0 30 42 100 106 108 142 148 150 156 190 192 198 256 268 298	-1209171598918
SPT(16)	2040167469063226681	0 6 12 76 90 106 112 148 210 246 252 268 282 346 352 358	-790115970358
SPT(16)	2040167606805771853	0 4 28 64 126 190 204 208 336 340 354 418 480 516 540 544	-652373425186
STPT(10)	2040167969992322999	0 2 48 50 90 92 132 134 180 182	-289186874040
SPT(16)	2040168087669264283	0 40 126 136 150 190 196 220 360 384 390 430 444 454 540 580	-171509932756
TPT(14)	2040168354831321887	0 2 30 32 42 44 132 134 282 284 384 386 474 476	95652124848
SPT(16)	2040168427103277101	0 42 56 68 78 102 108 126 152 170 176 200 210 222 236 278	167924080062
SPT(18)	2040168644930646781	0 88 106 108 126 172 192 220 246 262 288 316 336 382 400 402 420 508	385751449742
SPT(16)	2040168883792972409	0 8 38 44 78 152 164 170 192 198 210 284 318 324 354 362	624613775370
STPT(10)	2040169428389025719	0 2 30 32 60 62 90 92 120 122	1169209828680