Prime p₀= 1685566718410798007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 88 2 82 2 28 2 16 2 (?)
a_n: 0 2 24 26 30 32 120 122 204 206 234 236 252 254
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: 254
Found by: Donn Pike (USAF Ret)
db: batch=79, k=14, 22 4 88 82 28 16

TPT(14)	1685564973702313799	0 2 12 14 18 20 42 44 102 104 132 134 168 170	-1744708484208
STPT(10)	1685565041517621107	0 2 30 32 42 44 54 56 84 86	-1676893176900
SPT(16)	1685565826552362211	0 6 42 58 66 70 78 88 90 100 108 112 120 136 172 178	-891858435796
TPT(14)	1685566128502433501	0 2 78 80 120 122 156 158 186 188 210 212 228 230	-589908364506
STPT(10)	1685566312713216299	0 2 42 44 60 62 78 80 120 122	-405697581708
TPT(14)	1685566652515835741	0 2 120 122 156 158 210 212 240 242 276 278 306 308	-65894962266
SPT(16)	1685566895285076919	0 24 58 150 154 190 240 258 304 322 372 408 412 504 538 562	176874278912
SPT(16)	1685566906016827469	0 32 48 102 104 132 152 210 212 270 290 318 320 374 390 422	187606029462
SPT(18)	1685566957361999581	0 6 48 58 60 90 126 136 156 172 192 202 238 268 270 280 322 328	238951201574
STPT(10)	1685567027582781779	0 2 42 44 60 62 78 80 120 122	309171983772
SPT(16)	1685567244366494351	0 20 32 36 62 80 108 140 168 200 228 246 272 276 288 308	525955696344