Prime p₀= 2820990963765787859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 52 2 28 2 76 2 16 2 22 2 (?)
a_n: 0 2 48 50 102 104 132 134 210 212 228 230 252 254
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, 46 52 28 76 16 22

SPT(16)	2820989302966733527	0 70 72 82 84 142 180 192 214 226 264 322 324 334 336 406	-1660799054332
SPT(16)	2820989746975378883	0 56 78 120 126 134 158 186 188 216 240 248 254 296 318 374	-1216790408976
SPT(16)	2820989759822358713	0 66 78 84 98 128 134 140 144 150 156 186 200 206 218 284	-1203943429146
SPT(16)	2820989933899064797	0 4 6 16 34 36 42 46 60 64 70 72 90 100 102 106	-1029866723062
TPT(14)	2820989992057816487	0 2 30 32 60 62 84 86 192 194 210 212 234 236	-971707971372
STPT(10)	2820990730522985789	0 2 18 20 30 32 42 44 60 62	-233242802070
STPT(10)	2820991259408675567	0 2 30 32 42 44 54 56 84 86	295642887708
SPT(16)	2820991380212944157	0 36 42 50 74 84 102 104 162 164 182 192 216 224 230 266	416447156298
SPT(16)	2820991676693085647	0 6 26 110 146 182 252 330 356 434 504 540 576 660 680 686	712927297788
TPT(14)	2820991754313659501	0 2 288 290 306 308 318 320 330 332 408 410 456 458	790547871642
SPT(16)	2820992411801607257	0 2 14 54 96 114 146 170 186 210 242 260 302 342 354 356	1448035819398