Prime p₀= 1033689391326611351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 40 2 4 2 40 2 70 2 (?)
a_n: 0 2 36 38 48 50 90 92 96 98 138 140 210 212
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: Theadalus
db: batch=76, k=14, 34 10 40 4 40 70

SPT(16)	1033687213223273941	0 12 36 48 70 72 100 106 252 258 286 288 310 322 346 358	-2178103337410
STPT(10)	1033687234151011379	0 2 30 32 60 62 90 92 120 122	-2157175599972
SPT(16)	1033687527187937389	0 10 48 124 144 172 180 190 192 202 210 238 258 334 372 382	-1864138673962
SPT(16)	1033687656013803487	0 42 82 120 144 160 184 210 244 270 294 310 334 372 412 454	-1735312807864
SPT(16)	1033687971702507931	0 40 60 76 106 132 162 232 276 346 376 402 432 448 468 508	-1419624103420
STPT(10)	1033687987802867429	0 2 48 50 90 92 132 134 180 182	-1403523743922
SPT(16)	1033689798145068457	0 16 30 42 144 150 154 156 220 222 226 232 334 346 360 376	406818457106
STPT(10)	1033689846735445169	0 2 48 50 90 92 132 134 180 182	455408833818
STPT(10)	1033689975671999717	0 2 30 32 42 44 54 56 84 86	584345388366
SPT(16)	1033689978432809933	0 20 50 98 134 174 240 254 264 278 344 384 420 468 498 518	587106198582
SPT(16)	1033690253287263401	0 42 48 56 62 90 152 156 212 216 278 306 312 320 326 368	861960652050