Prime p₀= 2605782967590617807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 256 2 40 2 76 2 46 2 (?)
a_n: 0 2 24 26 54 56 312 314 354 356 432 434 480 482
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: 482
Found by: JayPi
db: batch=82, k=14, 22 28 256 40 76 46

STPT(10)	2605780593555897827	0 2 24 26 42 44 60 62 84 86	-2374034719980
SPT(16)	2605780686059063999	0 38 48 72 78 80 98 128 132 162 180 182 188 212 222 260	-2281531553808
TPT(14)	2605781268935303189	0 2 12 14 42 44 78 80 90 92 162 164 168 170	-1698655314618
SPT(16)	2605781596721656271	0 2 6 8 48 66 80 86 162 168 182 200 240 242 246 248	-1370868961536
STPT(10)	2605782711959206691	0 2 6 8 18 20 30 32 36 38	-255631411116
SPT(16)	2605782953712729787	0 24 40 52 76 90 132 142 234 244 286 300 324 336 352 376	-13877888020
SPT(16)	2605782968844640681	0 76 88 90 106 126 132 148 150 166 172 192 208 210 222 298	1254022874
SPT(16)	2605783078944441031	0 28 136 142 166 168 198 208 210 220 250 252 276 282 390 418	111353823224
STPT(10)	2605783337099224109	0 2 42 44 120 122 198 200 240 242	369508606302
SPT(20)	2605783367858337497	0 50 74 110 122 150 152 162 180 224 270 314 332 342 344 372 384 420 444 494	400267719690
SPT(16)	2605783584370267339	0 34 58 82 120 124 132 154 168 190 198 202 240 264 288 322	616779649532