Prime p₀= 2690800692217167161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 76 2 40 2 16 2 10 2 (?)
a_n: 0 2 36 38 90 92 168 170 210 212 228 230 240 242
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: 242
Found by: fzs600
db: batch=82, k=14, 34 52 76 40 16 10

SPT(16)	2690799746167756997	0 26 60 86 116 140 146 156 254 264 270 294 324 350 384 410	-946049410164
SPT(16)	2690799929182124677	0 16 22 24 42 66 100 120 136 156 190 214 232 234 240 256	-763035042484
SPT(16)	2690800175665177601	0 26 36 48 68 90 116 176 180 240 266 288 308 320 330 356	-516551989560
SPT(16)	2690800184271032467	0 22 30 60 76 106 112 130 282 300 306 336 352 382 390 412	-507946134694
TPT(14)	2690800283775904709	0 2 48 50 120 122 132 134 138 140 168 170 222 224	-408441262452
STPT(10)	2690800513596461471	0 2 6 8 18 20 30 32 36 38	-178620705690
SPT(16)	2690800855512641699	0 14 48 60 80 132 168 200 282 314 350 402 422 434 468 482	163295474538
SPT(16)	2690801311791256243	0 6 40 48 66 76 138 150 184 196 258 268 286 294 328 334	619574089082
SPT(16)	2690801469608979899	0 8 18 54 72 110 144 152 330 338 372 410 428 464 474 482	777391812738
STPT(10)	2690801945312013341	0 2 6 8 48 50 90 92 96 98	1253094846180
STPT(10)	2690802137926083299	0 2 18 20 30 32 42 44 60 62	1445708916138