Prime p₀= 1526570799493270439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 94 2 10 2 76 2 10 2 28 2 (?)
a_n: 0 2 42 44 138 140 150 152 228 230 240 242 270 272
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: 272
Found by: crashtech
db: batch=78, k=14, 40 94 10 76 10 28

STPT(10)	1526569807826004827	0 2 12 14 42 44 72 74 84 86	-991667265612
STPT(10)	1526569892505478547	0 2 24 26 42 44 60 62 84 86	-906987791892
SPT(16)	1526569934838692921	0 36 48 78 80 128 132 150 188 206 210 258 260 290 302 338	-864654577518
SPT(16)	1526569957694232881	0 72 110 150 180 300 302 306 332 336 338 458 488 528 566 638	-841799037558
SPT(16)	1526570355410175083	0 8 30 50 78 116 120 126 170 176 180 218 246 266 288 296	-444083095356
SPT(16)	1526570429037756899	0 2 14 20 42 84 90 104 150 164 170 212 234 240 252 254	-370455513540
SPT(16)	1526570854424242241	0 20 26 42 60 62 68 72 86 90 96 98 116 132 138 158	54930971802
STPT(10)	1526570897560658627	0 2 30 32 42 44 54 56 84 86	98067388188
SPT(16)	1526570934258908807	0 2 20 86 90 126 132 146 150 164 170 206 210 276 294 296	134765638368
SPT(16)	1526570982888396377	0 56 60 62 66 72 140 170 186 216 284 290 294 296 300 356	183395125938
SPT(16)	1526571302738648587	0 4 10 24 40 46 100 124 156 180 234 240 256 270 276 280	503245378148