Prime p₀= 2097496694488339559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 4 2 82 2 28 2 34 2 (?)
a_n: 0 2 30 32 42 44 48 50 132 134 162 164 198 200
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: 200
Found by: Coleslaw
db: batch=80, k=14, 28 10 4 82 28 34

SPT(16)	2097495011263439387	0 62 80 84 92 144 210 276 410 476 542 594 602 606 624 686	-1683224900172
SPT(16)	2097495471617510131	0 30 52 60 66 76 88 96 172 180 192 202 208 216 238 268	-1222870829428
SPT(16)	2097495839775409993	0 34 78 84 108 138 150 160 294 304 316 346 370 376 420 454	-854712929566
SPT(16)	2097495970262047163	0 18 20 26 96 98 158 174 230 246 306 308 378 384 386 404	-724226292396
STPT(10)	2097496031987013179	0 2 18 20 30 32 42 44 60 62	-662501326380
STPT(10)	2097496673045895617	0 2 12 14 42 44 72 74 84 86	-21442443942
STPT(10)	2097496729664728697	0 2 30 32 42 44 54 56 84 86	35176389138
SPT(16)	2097496950356055373	0 6 144 154 178 184 186 198 256 268 270 276 300 310 448 454	255867715814
STPT(10)	2097497664290621111	0 2 36 38 78 80 120 122 156 158	969802281552
SPT(16)	2097497805765760393	0 6 46 108 160 168 178 190 216 228 238 246 298 360 400 406	1111277420834
SPT(16)	2097497814469666241	0 2 42 50 62 66 80 90 128 138 152 156 168 176 216 218	1119981326682