Prime p₀= 2906933944840966967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 28 2 34 2 58 2 (?)
a_n: 0 2 12 14 42 44 54 56 84 86 120 122 180 182
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: 182
Found by: Landjunge
db: batch=82, k=14, 10 28 10 28 34 58

SPT(16)	2906932718902835797	0 10 30 40 66 96 100 114 136 150 154 184 210 220 240 250	-1225938131170
SPT(16)	2906933207167779073	0 16 18 34 36 70 88 100 174 186 204 238 240 256 258 274	-737673187894
STPT(10)	2906933371786344071	0 2 78 80 108 110 138 140 216 218	-573054622896
STPT(10)	2906933426713786037	0 2 12 14 42 44 72 74 84 86	-518127180930
SPT(16)	2906933475550702457	0 2 32 104 114 132 164 170 186 192 224 242 252 324 354 356	-469290264510
SPT(16)	2906933875490196619	0 18 84 144 214 240 244 280 288 324 328 354 424 484 550 568	-69350770348
TPT(14)	2906933981507855777	0 2 60 62 102 104 210 212 240 242 342 344 372 374	36666888810
SPT(16)	2906934567181155241	0 52 70 76 78 106 120 150 178 208 222 250 252 258 276 328	622340188274
SPT(16)	2906934624501031937	0 2 14 44 50 60 102 116 120 134 176 186 192 222 234 236	679660064970
SPT(16)	2906934755336809583	0 8 68 114 168 198 200 270 278 348 350 380 434 480 540 548	810495842616
SPT(16)	2906935093867223429	0 14 48 50 84 90 98 108 404 414 422 428 462 464 498 512	1149026256462