Prime p₀= 2535774923951680319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 40 2 34 2 58 2 52 2 (?)
a_n: 0 2 18 20 60 62 102 104 138 140 198 200 252 254
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: 254
Found by: Bill F
db: batch=82, k=14, 16 40 40 34 58 52

SPT(16)	2535773228262783617	0 20 36 44 54 80 110 114 146 150 180 206 216 224 240 260	-1695688896702
SPT(16)	2535773531991357001	0 16 18 40 58 60 78 106 120 148 166 168 186 208 210 226	-1391960323318
STPT(10)	2535774097111404827	0 2 30 32 42 44 54 56 84 86	-826840275492
STPT(10)	2535774192688251329	0 2 42 44 90 92 138 140 180 182	-731263428990
SPT(16)	2535774391553840867	0 2 24 26 36 42 72 80 96 104 134 140 150 152 174 176	-532397839452
TPT(14)	2535774476216565719	0 2 42 44 90 92 102 104 252 254 378 380 408 410	-447735114600
SPT(16)	2535774935062552409	0 14 74 84 150 182 270 284 360 374 462 494 560 570 630 644	11110872090
STPT(10)	2535775994227231961	0 2 6 8 18 20 30 32 36 38	1070275551642
SPT(16)	2535776541570180497	0 12 24 32 92 110 162 164 240 242 294 312 372 380 392 404	1617618500178
SPT(16)	2535776578533097667	0 54 56 62 92 104 122 176 180 234 252 264 294 300 302 356	1654581417348
SPT(16)	2535777542971441693	0 16 40 78 108 114 126 148 156 178 190 196 226 264 288 304	2619019761374