Prime p₀= 760409818487238761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 106 2 28 2 28 2 10 2 (?)
a_n: 0 2 30 32 48 50 156 158 186 188 216 218 228 230
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: 230
Found by: Theadalus
db: batch=73, k=14, 28 16 106 28 28 10

TPT(14)	760408745578560719	0 2 18 20 42 44 60 62 102 104 198 200 210 212	-1072908678042
SPT(16)	760409083855603277	0 12 42 50 54 60 72 102 212 242 254 260 264 272 302 314	-734631635484
SPT(16)	760409178097350391	0 18 22 58 108 156 166 178 240 252 262 310 360 396 400 418	-640389888370
SPT(16)	760409228996237911	0 10 52 90 112 142 168 178 192 202 228 258 280 318 360 370	-589491000850
STPT(10)	760409673756861719	0 2 42 44 90 92 138 140 180 182	-144730377042
SPT(18)	760409683100887997	0 20 66 72 132 156 210 216 240 302 326 332 386 410 470 476 522 542	-135386350764
SPT(16)	760409927271283483	0 10 28 46 60 120 148 174 190 216 244 304 318 336 354 364	108784044722
STPT(10)	760410372710920427	0 2 60 62 72 74 84 86 144 146	554223681666
STPT(10)	760410410244865337	0 2 60 62 72 74 84 86 144 146	591757626576
STPT(10)	760410506858972771	0 2 6 8 48 50 90 92 96 98	688371734010
SPT(16)	760410759919940399	0 8 12 50 62 90 92 102 128 138 140 168 180 218 222 230	941432701638