Prime p₀= 2085647603727242897 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 58 2 88 2 28 2 40 2 (?)
a_n: 0 2 24 26 42 44 102 104 192 194 222 224 264 266
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: ChUcK
db: batch=80, k=14, 22 16 58 88 28 40

SPT(16)	2085646757899438451	0 12 18 42 110 128 146 170 198 222 240 258 326 350 356 368	-845827804446
SPT(16)	2085646780430694781	0 6 82 108 126 138 160 180 238 258 280 292 310 336 412 418	-823296548116
SPT(16)	2085646870034481023	0 14 18 36 86 114 138 140 174 176 200 228 278 296 300 314	-733692761874
STPT(10)	2085646934330458307	0 2 30 32 42 44 54 56 84 86	-669396784590
TPT(14)	2085647126576345357	0 2 54 56 114 116 174 176 180 182 240 242 252 254	-477150897540
STPT(10)	2085647248837912841	0 2 6 8 48 50 90 92 96 98	-354889330056
STPT(10)	2085648197034415511	0 2 36 38 78 80 120 122 156 158	593307172614
TPT(14)	2085648437708462321	0 2 6 8 30 32 90 92 126 128 168 170 198 200	833981219424
STPT(10)	2085648476434584947	0 2 12 14 42 44 72 74 84 86	872707342050
SPT(16)	2085648960895837471	0 12 18 40 46 52 70 96 142 168 186 192 198 220 226 238	1357168594574
SPT(16)	2085649098463144589	0 8 44 68 92 152 182 200 282 300 330 390 414 438 474 482	1494735901692