Prime p₀= 2683702304246588069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 58 2 136 2 10 2 58 2 (?)
a_n: 0 2 18 20 30 32 90 92 228 230 240 242 300 302
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: 302
Found by: Groo
db: batch=82, k=14, 16 10 58 136 10 58

TPT(14)	2683700616764467667	0 2 12 14 24 26 42 44 162 164 174 176 300 302	-1687482120402
SPT(16)	2683700623017520441	0 58 66 82 88 100 112 118 150 156 168 180 186 202 210 268	-1681229067628
SPT(16)	2683700629022890907	0 50 86 92 96 152 174 180 206 212 234 290 294 300 336 386	-1675223697162
SPT(16)	2683701308059219837	0 30 46 72 76 100 112 124 162 174 186 210 214 240 256 286	-996187368232
SPT(16)	2683701695778581851	0 6 58 60 118 120 148 150 196 198 226 228 286 288 340 346	-608468006218
STPT(12)	2683701695778581909	0 2 60 62 90 92 138 140 168 170 228 230	-608468006160
SPT(16)	2683702358469204487	0 6 34 42 94 114 130 132 154 156 172 192 244 252 280 286	54222616418
TPT(14)	2683702471503137879	0 2 12 14 18 20 42 44 90 92 198 200 252 254	167256549810
STPT(10)	2683702759755961367	0 2 30 32 72 74 114 116 144 146	455509373298
SPT(16)	2683703199203117513	0 14 30 36 66 168 224 230 234 240 296 398 428 434 450 464	894956529444
STPT(10)	2683703254832140337	0 2 24 26 42 44 60 62 84 86	950585552268