Prime p₀= 2703186619927236869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 82 2 34 2 22 2 28 2 (?)
a_n: 0 2 72 74 108 110 192 194 228 230 252 254 282 284
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: 284
Found by: biodoc
db: batch=82, k=14, 70 34 82 34 22 28

SPT(16)	2703185544899164631	0 8 36 38 42 50 60 96 122 158 168 176 180 182 210 218	-1075028072238
SPT(16)	2703185609445138053	0 78 84 90 98 134 144 146 348 350 360 396 404 410 416 494	-1010482098816
SPT(16)	2703185641901415469	0 22 52 64 130 148 168 190 192 214 234 252 318 330 360 382	-978025821400
STPT(10)	2703185690502045641	0 2 6 8 48 50 90 92 96 98	-929425191228
SPT(16)	2703185960693269319	0 20 38 48 60 92 98 104 228 234 240 272 284 294 312 332	-659233967550
STPT(10)	2703186344031751619	0 2 18 20 30 32 42 44 60 62	-275895485250
SPT(16)	2703186884182895399	0 2 20 44 48 60 120 144 158 182 242 254 258 282 300 302	264255658530
TPT(14)	2703187159565360561	0 2 30 32 120 122 156 158 168 170 210 212 240 242	539638123692
SPT(18)	2703187495335839483	0 20 24 66 74 80 90 98 114 140 156 164 174 180 188 230 234 254	875408602614
TPT(14)	2703187623606202427	0 2 30 32 90 92 102 104 114 116 132 134 270 272	1003678965558
SPT(16)	2703187891814626261	0 16 58 66 78 100 138 190 336 388 426 448 460 468 510 526	1271887389392