Prime p₀= 2097871847674017299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 70 2 70 2 34 2 40 2 16 2 (?)
a_n: 0 2 78 80 150 152 222 224 258 260 300 302 318 320
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: 320
Found by: ChUcK
db: batch=80, k=14, 76 70 70 34 40 16

SPT(16)	2097870797508157981	0 22 60 78 88 96 102 136 222 256 262 270 280 298 336 358	-1050165859318
SPT(16)	2097870801718999907	0 12 56 66 96 132 134 152 204 222 224 260 290 300 344 356	-1045955017392
TPT(14)	2097870844859584031	0 2 18 20 30 32 150 152 180 182 186 188 198 200	-1002814433268
STPT(10)	2097870992652516437	0 2 30 32 72 74 114 116 144 146	-855021500862
TPT(14)	2097871128722156069	0 2 18 20 42 44 60 62 120 122 162 164 228 230	-718951861230
SPT(16)	2097871242049138529	0 18 44 54 80 128 158 168 194 204 234 282 308 318 344 362	-605624878770
SPT(18)	2097871989855284911	0 22 30 90 120 130 132 160 190 198 228 256 258 268 298 358 366 388	142181267612
SPT(16)	2097872006367324457	0 30 64 72 154 162 174 180 184 190 202 210 292 300 334 364	158693307158
STPT(10)	2097872123061269879	0 2 42 44 60 62 78 80 120 122	275387252580
SPT(16)	2097872281141954241	0 12 26 38 66 92 96 122 126 152 156 182 210 222 236 248	433467936942
SPT(16)	2097872482767775459	0 4 18 42 70 72 78 84 118 124 130 132 160 184 198 202	635093758160