Prime p₀= 2501563149658806419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 76 2 28 2 28 2 58 2 (?)
a_n: 0 2 18 20 60 62 138 140 168 170 198 200 258 260
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: JayPi
db: batch=82, k=14, 16 40 76 28 28 58

STPT(10)	2501561625025738571	0 2 6 8 18 20 30 32 36 38	-1524633067848
SPT(16)	2501561639513443657	0 34 96 132 142 154 156 184 192 220 222 234 244 280 342 376	-1510145362762
TPT(14)	2501562566160341729	0 2 48 50 90 92 132 134 168 170 180 182 192 194	-583498464690
SPT(16)	2501562691801141207	0 24 40 46 54 66 70 94 156 180 184 196 204 210 226 250	-457857665212
SPT(16)	2501562692978473373	0 18 30 36 74 84 126 134 210 218 260 270 308 314 326 344	-456680333046
SPT(16)	2501563113627296363	0 36 38 50 66 68 78 80 126 128 138 140 156 168 170 206	-36031510056
STPT(10)	2501563485085814801	0 2 36 38 78 80 120 122 156 158	335427008382
STPT(10)	2501563508139069107	0 2 24 26 42 44 60 62 84 86	358480262688
SPT(16)	2501563910291513971	0 22 36 66 106 222 256 280 288 312 346 462 502 532 546 568	760632707552
TPT(14)	2501563978947712241	0 2 36 38 78 80 90 92 120 122 180 182 276 278	829288905822
SPT(16)	2501564146603907881	0 12 30 42 58 82 100 138 160 198 216 240 256 268 286 298	996945101462