Prime p₀= 564196500769470341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 124 2 28 2 10 2 40 2 (?)
a_n: 0 2 36 38 90 92 216 218 246 248 258 260 300 302
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: 302
Found by: biodoc
db: batch=57, k=14, 34 52 124 28 10 40

SPT(14)	564196417740348427	0 6 16 42 52 90 112 240 262 300 310 336 346 352	-83029121914
SPT(14)	564196440702604849	0 54 72 130 144 154 174 178 198 208 222 280 298 352	-60066865492
SPT(14)	564196474006137493	0 10 16 24 30 34 94 96 156 160 166 174 180 190	-26763332848
SPT(14)	564196483204474777	0 12 16 30 46 60 70 72 82 96 112 126 130 142	-17564995564
SPT(14)	564196493556306859	0 28 42 58 72 108 114 118 124 160 174 190 204 232	-7213163482
SPT(14)	564196494525147931	0 16 40 100 102 142 160 222 240 280 282 342 366 382	-6244322410
SPT(14)	564196509641427863	0 18 78 128 134 140 194 270 324 330 336 386 446 464	8871957522
SPT(14)	564196521028107529	0 28 30 34 84 100 130 258 288 304 354 358 360 388	20258637188
SPT(20)	564196521858944353	0 36 46 54 66 88 96 114 126 166 168 208 220 238 246 268 280 288 298 334	21089474012
SPT(14)	564196522710488929	0 42 70 94 100 148 174 178 204 252 258 282 310 352	21941018588
SPT(14)	564196523586603977	0 14 24 42 54 72 80 156 164 182 194 212 222 236	22817133636