Prime p₀= 2082465406784700209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 46 2 40 2 28 2 88 2 10 2 (?)
a_n: 0 2 60 62 108 110 150 152 180 182 270 272 282 284
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: [SG-2W]Kurzer
db: batch=80, k=14, 58 46 40 28 88 10

TPT(14)	2082464223899806247	0 2 54 56 114 116 132 134 252 254 282 284 294 296	-1182884893962
SPT(16)	2082464839004917907	0 14 42 44 66 80 122 156 170 204 246 260 282 284 312 326	-567779782302
STPT(10)	2082464953056519089	0 2 42 44 60 62 78 80 120 122	-453728181120
STPT(10)	2082464970325439657	0 2 24 26 42 44 60 62 84 86	-436459260552
SPT(16)	2082464992100210911	0 42 46 58 70 100 102 142 156 196 198 228 240 252 256 298	-414684489298
TPT(14)	2082465056782419341	0 2 48 50 60 62 90 92 126 128 168 170 198 200	-350002280868
SPT(16)	2082466201792813883	0 14 56 60 90 114 140 158 366 384 410 434 464 468 510 524	795008113674
SPT(16)	2082466257549920833	0 96 106 108 198 208 210 240 286 316 318 328 418 420 430 526	850765220624
STPT(10)	2082466484032918349	0 2 42 44 60 62 78 80 120 122	1077248218140
STPT(10)	2082466664082567821	0 2 36 38 78 80 120 122 156 158	1257297867612
TPT(14)	2082466673703184121	0 2 6 8 36 38 66 68 78 80 90 92 108 110	1266918483912