Prime p₀= 1526572608504958367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 148 2 160 2 10 2 34 2 172 2 (?)
a_n: 0 2 150 152 300 302 462 464 474 476 510 512 684 686
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: 686
Found by: Theadalus
db: batch=78, k=14, 148 148 160 10 34 172

SPT(16)	1526570934258908807	0 2 20 86 90 126 132 146 150 164 170 206 210 276 294 296	-1674246049560
SPT(16)	1526570982888396377	0 56 60 62 66 72 140 170 186 216 284 290 294 296 300 356	-1625616561990
SPT(16)	1526571302738648587	0 4 10 24 40 46 100 124 156 180 234 240 256 270 276 280	-1305766309780
STPT(12)	1526571375310399967	0 2 24 26 84 86 90 92 150 152 174 176	-1233194558400
STPT(10)	1526571851600474477	0 2 30 32 42 44 54 56 84 86	-756904483890
SPT(20)	1526572240100086961	0 8 18 38 60 92 96 122 146 150 218 222 246 272 276 308 330 350 360 368	-368404871406
STPT(10)	1526572809361033781	0 2 6 8 48 50 90 92 96 98	200856075414
SPT(13)	1526573162907910367	0 60 66 126 150 162 186 210 222 246 306 312 372	554402952000
TPT(14)	1526573176345465601	0 2 150 152 246 248 300 302 348 350 390 392 420 422	567840507234
STPT(10)	1526573264510437607	0 2 60 62 102 104 144 146 204 206	656005479240
SPT(16)	1526573330917713457	0 16 42 60 84 124 166 172 234 240 282 322 346 364 390 406	722412755090