Prime p₀= 2710376668036431221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 40 2 4 2 28 2 100 2 (?)
a_n: 0 2 60 62 78 80 120 122 126 128 156 158 258 260
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: 260
Found by: fzs600
db: batch=82, k=14, 58 16 40 4 28 100

TPT(16)	2710375323910149359	0 2 60 62 102 104 162 164 252 254 258 260 408 410 468 470	-1344126281862
SPT(16)	2710375725080040581	0 26 92 116 182 240 246 266 282 302 308 366 432 456 522 548	-942956390640
SPT(16)	2710375727851698121	0 66 70 78 88 90 112 118 180 186 208 210 220 228 232 298	-940184733100
SPT(16)	2710375825107591041	0 8 18 30 78 90 126 146 240 260 296 308 356 368 378 386	-842928840180
TPT(14)	2710376405758887911	0 2 36 38 48 50 138 140 258 260 378 380 390 392	-262277543310
SPT(16)	2710376522378077517	0 26 54 90 126 132 144 200 216 272 284 290 326 362 390 416	-145658353704
SPT(16)	2710377374219910011	0 42 56 66 68 78 108 110 138 140 170 180 182 192 206 248	706183478790
STPT(10)	2710378072991423249	0 2 48 50 60 62 72 74 120 122	1404954992028
STPT(10)	2710378477354080227	0 2 30 32 60 62 90 92 120 122	1809317649006
SPT(16)	2710378619138053607	0 2 30 32 44 60 72 102 104 134 146 162 174 176 204 206	1951101622386
SPT(16)	2710378890044186377	0 4 16 22 46 60 102 112 144 154 196 210 234 240 252 256	2222007755156