Prime p₀= 502849278105516917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 94 2 82 2 4 2 22 2 (?)
a_n: 0 2 24 26 54 56 150 152 234 236 240 242 264 266
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: 266
Found by: [H]auntjemima
db: batch=71, k=14, 22 28 94 82 4 22

SPT(14)	502849200493140737	0 20 26 36 62 120 132 140 152 210 236 246 252 272	-77612376180
SPT(14)	502849219863004247	0 30 50 62 72 90 120 134 164 182 192 204 224 254	-58242512670
SPT(14)	502849228756604329	0 4 22 28 34 42 52 120 130 138 144 150 168 172	-49348912588
SPT(14)	502849239320222447	0 6 14 20 30 50 86 90 126 146 156 162 170 176	-38785294470
TPT(12)	502849247462987609	0 2 60 62 72 74 90 92 162 164 240 242	-30642529308
SPT(14)	502849254587162033	0 14 20 110 174 200 204 206 210 236 300 390 396 410	-23518354884
TPT(12)	502849279873817027	0 2 180 182 264 266 312 314 384 386 480 482	1768300110
SPT(14)	502849284236765597	0 6 20 32 66 140 152 180 192 266 300 312 326 332	6131248680
TPT(12)	502849314147982559	0 2 30 32 60 62 90 92 102 104 168 170	36042465642
SPT(14)	502849316078885401	0 66 70 90 106 162 198 370 406 462 478 498 502 568	37973368484
SPT(14)	502849316626420681	0 36 42 88 100 108 120 178 190 198 210 256 262 298	38520903764