Prime p₀= 813697037469386909 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 40 2 46 2 16 2 28 2 (?)
a_n: 0 2 42 44 60 62 102 104 150 152 168 170 198 200
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: [SG]FX
db: batch=73, k=14, 40 16 40 46 16 28

TPT(14)	813695994441355097	0 2 90 92 132 134 204 206 534 536 540 542 582 584	-1043028031812
SPT(16)	813696020223423697	0 6 12 24 42 54 66 76 210 220 232 244 262 274 280 286	-1017245963212
SPT(16)	813696257068676647	0 30 54 102 106 154 172 186 250 264 282 330 334 382 406 436	-780400710262
SPT(16)	813696546811817021	0 8 36 38 56 80 86 92 156 162 168 192 210 212 240 248	-490657569888
STPT(10)	813696869156478491	0 2 30 32 60 62 90 92 120 122	-168312908418
SPT(16)	813696945682345759	0 4 24 30 34 58 90 100 102 112 144 168 172 178 198 202	-91787041150
SPT(16)	813697192802356417	0 84 102 120 126 162 174 190 216 232 244 280 286 304 322 406	155332969508
SPT(16)	813697404630200081	0 26 56 90 96 102 116 182 186 252 266 272 278 312 342 368	367160813172
SPT(16)	813697622826382823	0 78 86 146 156 176 228 254 300 326 378 398 408 468 476 554	585356995914
SPT(18)	813697824070553089	0 22 24 42 48 120 150 154 160 192 198 202 232 304 310 328 330 352	786601166180
SPT(16)	813698119790173273	0 6 40 60 66 90 96 126 130 160 166 190 196 216 250 256	1082320786364