Prime p₀= 1512529708476372359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 22 2 64 2 28 2 10 2 (?)
a_n: 0 2 12 14 48 50 72 74 138 140 168 170 180 182
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: 182
Found by: Theadalus
db: batch=78, k=14, 10 34 22 64 28 10

SPT(16)	1512528491785122739	0 58 64 70 144 168 258 264 358 364 454 478 552 558 564 622	-1216691249620
SPT(16)	1512528764276789981	0 2 18 60 66 86 122 138 140 156 192 212 218 260 276 278	-944199582378
STPT(10)	1512529086957850847	0 2 30 32 72 74 114 116 144 146	-621518521512
STPT(10)	1512529229336560187	0 2 30 32 42 44 54 56 84 86	-479139812172
STPT(10)	1512529261985347337	0 2 30 32 42 44 54 56 84 86	-446491025022
SPT(16)	1512529349470165699	0 4 22 58 82 84 112 138 154 180 208 210 234 270 288 292	-359006206660
SPT(16)	1512530056892275217	0 12 14 20 42 62 90 114 140 164 192 212 234 240 242 254	348415902858
SPT(16)	1512530091171438359	0 14 60 62 98 104 114 128 144 158 168 174 210 212 258 272	382695066000
TPT(14)	1512530418336726431	0 2 30 32 66 68 126 128 168 170 198 200 210 212	709860354072
SPT(16)	1512530629719764891	0 26 56 78 96 108 126 150 218 242 260 272 290 312 342 368	921243392532
SPT(16)	1512530676713139703	0 6 34 60 90 120 126 144 190 208 214 244 274 300 328 334	968236767344