Prime p₀= 2458098663264172769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 88 2 22 2 46 2 10 2 (?)
a_n: 0 2 42 44 78 80 168 170 192 194 240 242 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 40 34 88 22 46 10

SPT(16)	2458096971978164533	0 24 66 84 106 120 126 178 216 268 274 288 310 328 370 394	-1691286008236
TPT(14)	2458096997387562227	0 2 12 14 30 32 72 74 102 104 114 116 210 212	-1665876610542
STPT(10)	2458097248194608789	0 2 18 20 30 32 42 44 60 62	-1415069563980
SPT(16)	2458097519866503817	0 60 70 82 156 180 184 214 222 252 256 280 354 366 376 436	-1143397668952
STPT(10)	2458097746133819759	0 2 12 14 30 32 48 50 60 62	-917130353010
STPT(10)	2458098479064648221	0 2 6 8 48 50 90 92 96 98	-184199524548
SPT(16)	2458098795897546379	0 22 34 40 90 114 132 160 162 190 208 232 282 288 300 322	132633373610
SPT(16)	2458098978836595481	0 18 22 88 90 132 142 168 220 246 256 298 300 366 370 388	315572422712
SPT(16)	2458099483938033779	0 32 42 44 74 90 110 134 180 204 224 240 270 272 282 314	820673861010
SPT(18)	2458099563534653659	0 10 22 64 70 148 150 174 180 412 418 442 444 522 528 570 582 592	900270480890
SPT(16)	2458099861060317533	0 20 56 90 108 168 180 234 320 374 386 446 464 498 534 554	1197796144764