Prime p₀= 746586515746359467 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 16 2 28 2 46 2 28 2 (?)
a_n: 0 2 60 62 84 86 102 104 132 134 180 182 210 212
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=73, k=14, 58 22 16 28 46 28

STPT(10)	746585806132376261	0 2 6 8 18 20 30 32 36 38	-709613983206
SPT(16)	746585917974972007	0 4 22 30 52 64 130 144 160 174 240 252 274 282 300 304	-597771387460
SPT(16)	746585959025706983	0 24 44 60 86 110 120 156 164 200 210 234 260 276 296 320	-556720652484
STPT(10)	746586026390703839	0 2 18 20 30 32 42 44 60 62	-489355655628
SPT(16)	746586422578977551	0 2 36 50 90 102 120 126 272 278 296 308 348 362 396 398	-93167381916
SPT(16)	746586430262269607	0 6 20 54 72 92 152 204 272 324 384 404 422 456 470 476	-85484089860
SPT(16)	746586592189513903	0 34 36 46 84 106 150 174 190 214 258 280 318 328 330 364	76443154436
TPT(14)	746586635329416911	0 2 78 80 126 128 168 170 198 200 240 242 306 308	119583057444
STPT(10)	746586799798279439	0 2 18 20 30 32 42 44 60 62	284051919972
SPT(16)	746586866111516741	0 2 12 20 38 48 86 132 146 192 230 240 258 266 276 278	350365157274
SPT(16)	746586958136423101	0 46 70 96 126 132 220 228 280 288 376 382 412 438 462 508	442390063634