Prime p₀= 2057220867995784017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 142 2 76 2 10 2 58 2 (?)
a_n: 0 2 42 44 60 62 204 206 282 284 294 296 354 356
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: 356
Found by: ChUcK
db: batch=80, k=14, 40 16 142 76 10 58

STPT(10)	2057220029259241277	0 2 54 56 72 74 90 92 144 146	-838736542740
TPT(14)	2057220248687292191	0 2 18 20 96 98 126 128 150 152 156 158 180 182	-619308491826
SPT(16)	2057220295528661953	0 48 70 76 78 88 118 126 148 156 186 196 198 204 226 274	-572467122064
SPT(16)	2057220400899503221	0 12 16 48 70 132 142 162 166 186 196 258 280 312 316 328	-467096280796
STPT(12)	2057220424412134769	0 2 30 32 72 74 228 230 270 272 300 302	-443583649248
SPT(16)	2057220857487584851	0 30 60 66 112 126 130 150 298 318 322 336 382 388 418 448	-10508199166
STPT(10)	2057220964969079909	0 2 18 20 30 32 42 44 60 62	96973295892
STPT(10)	2057221048255288211	0 2 6 8 18 20 30 32 36 38	180259504194
TPT(14)	2057221456959075101	0 2 36 38 60 62 78 80 156 158 168 170 186 188	588963291084
SPT(16)	2057221483190120417	0 14 44 62 66 74 80 86 120 126 132 140 144 162 192 206	615194336400
STPT(10)	2057221556201157551	0 2 6 8 18 20 30 32 36 38	688205373534