Prime p₀= 2871797778010616489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 40 2 4 2 100 2 70 2 (?)
a_n: 0 2 12 14 60 62 102 104 108 110 210 212 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 10 46 40 4 100 70

STPT(10)	2871797001714722309	0 2 42 44 90 92 138 140 180 182	-776295894180
SPT(16)	2871797090239737061	0 12 22 30 70 72 76 100 138 162 166 168 208 216 226 238	-687770879428
SPT(16)	2871797319174518923	0 18 24 30 58 118 138 184 210 256 276 336 364 370 376 394	-458836097566
SPT(16)	2871797560689909557	0 2 24 44 80 84 90 104 192 206 212 216 252 272 294 296	-217320706932
STPT(10)	2871797564599844057	0 2 60 62 72 74 84 86 144 146	-213410772432
SPT(16)	2871797605256795287	0 24 36 66 70 102 106 112 144 150 154 186 190 220 232 256	-172753821202
SPT(16)	2871797843779642033	0 58 78 124 148 174 198 210 244 256 280 306 330 376 396 454	65769025544
STPT(10)	2871798108013753739	0 2 18 20 30 32 42 44 60 62	330003137250
SPT(16)	2871798217846868161	0 18 42 52 108 120 126 148 150 172 178 190 246 256 280 298	439836251672
STPT(10)	2871798923157159167	0 2 30 32 42 44 54 56 84 86	1145146542678
STPT(10)	2871799173923678627	0 2 30 32 72 74 114 116 144 146	1395913062138