Prime p₀= 2683702471503137879 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 22 2 46 2 106 2 52 2 (?)
a_n: 0 2 12 14 18 20 42 44 90 92 198 200 252 254
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: Groo
db: batch=82, k=14, 10 4 22 46 106 52

SPT(16)	2683700629022890907	0 50 86 92 96 152 174 180 206 212 234 290 294 300 336 386	-1842480246972
SPT(16)	2683701308059219837	0 30 46 72 76 100 112 124 162 174 186 210 214 240 256 286	-1163443918042
SPT(16)	2683701695778581851	0 6 58 60 118 120 148 150 196 198 226 228 286 288 340 346	-775724556028
STPT(12)	2683701695778581909	0 2 60 62 90 92 138 140 168 170 228 230	-775724555970
TPT(14)	2683702304246588069	0 2 18 20 30 32 90 92 228 230 240 242 300 302	-167256549810
SPT(16)	2683702358469204487	0 6 34 42 94 114 130 132 154 156 172 192 244 252 280 286	-113033933392
STPT(10)	2683702759755961367	0 2 30 32 72 74 114 116 144 146	288252823488
SPT(16)	2683703199203117513	0 14 30 36 66 168 224 230 234 240 296 398 428 434 450 464	727699979634
STPT(10)	2683703254832140337	0 2 24 26 42 44 60 62 84 86	783329002458
STPT(10)	2683703343566312279	0 2 42 44 60 62 78 80 120 122	872063174400
SPT(16)	2683703846610386021	0 6 30 50 56 66 80 86 162 168 182 192 198 218 242 248	1375107248142