Prime p₀= 2725886176891760609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 4 2 40 2 40 2 4 2 10 2 (?)
a_n: 0 2 102 104 108 110 150 152 192 194 198 200 210 212
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: 212
Found by: JonS
db: batch=82, k=14, 100 4 40 40 4 10

SPT(16)	2725885322714128247	0 24 26 36 56 66 74 110 126 162 170 180 200 210 212 236	-854177632362
SPT(13)	2725885350215074603	0 24 30 48 90 174 204 234 318 360 378 384 408	-826676686006
STPT(10)	2725885405739139401	0 2 6 8 18 20 30 32 36 38	-771152621208
STPT(10)	2725885682700572177	0 2 30 32 60 62 90 92 120 122	-494191188432
SPT(16)	2725885779319950581	0 20 36 132 140 182 200 206 246 252 270 312 320 416 432 452	-397571810028
STPT(10)	2725885782567291101	0 2 6 8 18 20 30 32 36 38	-394324469508
STPT(10)	2725886176891760711	0 2 6 8 48 50 90 92 96 98	102
SPT(16)	2725886347459387951	0 18 28 60 82 102 130 142 156 168 196 216 238 270 280 298	170567627342
SPT(16)	2725886347535600377	0 16 30 72 84 90 112 126 190 204 226 232 244 286 300 316	170643839768
SPT(16)	2725886995684257883	0 4 84 90 106 136 144 174 190 220 228 258 274 280 360 364	818792497274
STPT(10)	2725887003620360219	0 2 12 14 90 92 168 170 180 182	826728599610