Prime p₀= 2821307959035772697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 118 2 10 2 34 2 172 2 (?)
a_n: 0 2 54 56 72 74 192 194 204 206 240 242 414 416
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: 416
Found by: JayPi
db: batch=82, k=14, 52 16 118 10 34 172

SPT(16)	2821305878214804341	0 12 20 36 48 50 86 92 96 102 138 140 152 168 176 188	-2080820968356
TPT(14)	2821306153153717907	0 2 54 56 60 62 150 152 192 194 294 296 324 326	-1805882054790
SPT(16)	2821306557258534031	0 108 130 136 148 168 178 180 196 198 208 228 240 246 268 376	-1401777238666
SPT(16)	2821306634728862281	0 40 46 58 70 102 112 130 138 156 166 198 210 222 228 268	-1324306910416
SPT(16)	2821307322878014819	0 58 84 102 220 280 298 312 370 384 402 462 580 598 624 682	-636157757878
STPT(10)	2821307632848473339	0 2 18 20 30 32 42 44 60 62	-326187299358
STPT(10)	2821308207227241827	0 2 30 32 42 44 54 56 84 86	248191469130
STPT(10)	2821309335166923437	0 2 42 44 72 74 102 104 144 146	1376131150740
SPT(16)	2821309416271896377	0 60 66 72 84 116 144 150 176 182 210 242 254 260 266 326	1457236123680
SPT(16)	2821309700238889403	0 8 38 98 140 168 174 180 218 224 230 258 300 360 390 398	1741203116706
TPT(16)	2821309841200687157	0 2 12 14 102 104 114 116 192 194 252 254 294 296 312 314	1882164914460