Prime p₀= 2820457785160945379 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 16 2 10 2 154 2 22 2 (?)
a_n: 0 2 30 32 72 74 90 92 102 104 258 260 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 28 40 16 10 154 22

STPT(10)	2820456046841657837	0 2 30 32 42 44 54 56 84 86	-1738319287542
SPT(16)	2820456619791870203	0 20 30 44 74 110 126 134 180 188 204 240 270 284 294 314	-1165369075176
SPT(16)	2820456877748193083	0 14 26 44 78 96 110 116 138 144 158 176 210 228 240 254	-907412752296
SPT(16)	2820456975135369989	0 14 122 144 150 188 198 210 212 224 234 272 278 300 408 422	-810025575390
SPT(16)	2820457601500341337	0 22 52 64 72 100 132 150 166 184 216 244 252 264 294 316	-183660604042
STPT(10)	2820457728534012599	0 2 48 50 90 92 132 134 180 182	-56626932780
SPT(16)	2820457876354609313	0 18 20 50 56 98 104 144 170 210 216 258 264 294 296 314	91193663934
SPT(16)	2820458767312430729	0 30 84 90 92 104 134 144 158 168 198 210 212 218 272 302	982151485350
STPT(10)	2820458967936529487	0 2 12 14 42 44 72 74 84 86	1182775584108
SPT(16)	2820459372979888877	0 20 30 72 116 146 150 174 182 206 210 240 284 326 336 356	1587818943498
SPT(16)	2820459432292214023	0 36 150 174 216 220 276 304 306 334 390 394 436 460 574 610	1647131268644