Prime p₀= 2083216397493200969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 106 2 10 2 28 2 58 2 (?)
a_n: 0 2 18 20 30 32 138 140 150 152 180 182 240 242
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: 242
Found by: ChUcK
db: batch=80, k=14, 16 10 106 10 28 58

STPT(10)	2083214651360340527	0 2 30 32 42 44 54 56 84 86	-1746132860442
SPT(16)	2083214950669296547	0 10 36 54 64 76 120 124 132 136 180 192 202 220 246 256	-1446823904422
SPT(16)	2083215152300508383	0 24 48 66 68 104 114 128 216 230 240 276 278 296 320 344	-1245192692586
SPT(16)	2083215224286762257	0 6 24 80 90 116 150 164 336 350 384 410 420 476 494 500	-1173206438712
SPT(16)	2083215930942494059	0 54 60 70 82 112 154 160 174 180 222 252 264 274 280 334	-466550706910
SPT(16)	2083216088221503127	0 16 22 76 84 96 132 156 250 274 310 322 330 384 390 406	-309271697842
SPT(16)	2083216493602396703	0 36 48 66 84 96 110 140 144 174 188 200 218 236 248 284	96109195734
STPT(10)	2083216554573140417	0 2 30 32 72 74 114 116 144 146	157079939448
STPT(10)	2083216605430028687	0 2 90 92 150 152 210 212 300 302	207936827718
STPT(10)	2083217216900599847	0 2 90 92 132 134 174 176 264 266	819407398878
TPT(14)	2083217382924404261	0 2 6 8 36 38 78 80 96 98 108 110 150 152	985431203292