Prime p₀= 2365036678940341871 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 100 2 16 2 40 2 4 2 (?)
a_n: 0 2 36 38 48 50 150 152 168 170 210 212 216 218
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: 218
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 34 10 100 16 40 4

SPT(16)	2365035439506002017	0 16 34 112 172 250 256 300 346 390 396 474 534 612 630 646	-1239434339854
SPT(16)	2365035510933613019	0 12 24 38 62 80 90 108 164 182 192 210 234 248 260 272	-1168006728852
SPT(13)	2365035555883735979	0 18 48 90 150 168 180 192 210 270 312 342 360	-1123056605892
SPT(16)	2365035699701347537	0 12 22 42 64 106 112 156 250 294 300 342 364 384 394 406	-979238994334
STPT(10)	2365035813745899641	0 2 6 8 48 50 90 92 96 98	-865194442230
STPT(10)	2365036588882397147	0 2 12 14 132 134 252 254 264 266	-90057944724
STPT(10)	2365036888259102789	0 2 42 44 90 92 138 140 180 182	209318760918
STPT(10)	2365037170565197157	0 2 30 32 42 44 54 56 84 86	491624855286
SPT(16)	2365037171217820669	0 48 52 70 94 162 192 204 208 220 250 318 342 360 364 412	492277478798
SPT(16)	2365037369666641337	0 12 20 132 140 230 252 254 360 362 384 474 482 594 602 614	690726299466
STPT(10)	2365037434602637811	0 2 30 32 120 122 210 212 240 242	755662295940