Prime p₀= 2825640466233802097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 76 2 10 2 64 2 52 2 28 2 (?)
a_n: 0 2 24 26 102 104 114 116 180 182 234 236 264 266
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: JayPi
db: batch=82, k=14, 22 76 10 64 52 28

SPT(16)	2825639240280188377	0 30 42 94 112 126 132 184 192 244 250 264 282 334 346 376	-1225953613720
TPT(14)	2825639575466102639	0 2 30 32 60 62 72 74 102 104 192 194 210 212	-890767699458
STPT(10)	2825639695495523909	0 2 30 32 60 62 90 92 120 122	-770738278188
TPT(14)	2825639712021342917	0 2 30 32 120 122 150 152 252 254 294 296 330 332	-754212459180
SPT(16)	2825640284759634533	0 20 24 50 86 104 168 170 204 206 270 288 324 350 354 374	-181474167564
STPT(10)	2825640300657830861	0 2 6 8 18 20 30 32 36 38	-165575971236
SPT(16)	2825641087729677611	0 20 30 50 80 92 102 122 168 188 198 210 240 260 270 290	621495875514
SPT(16)	2825641169879923583	0 30 66 80 84 158 168 170 264 266 276 350 354 368 404 434	703646121486
TPT(14)	2825641292877803399	0 2 18 20 42 44 60 62 102 104 108 110 150 152	826644001302
SPT(16)	2825641631337028541	0 20 36 48 108 200 206 230 246 270 276 368 428 440 456 476	1165103226444
STPT(10)	2825641901093053037	0 2 30 32 72 74 114 116 144 146	1434859250940