Prime p₀= 2909970636013165187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 10 2 106 2 40 2 46 2 (?)
a_n: 0 2 24 26 72 74 84 86 192 194 234 236 282 284
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: 284
Found by: Landjunge
db: batch=82, k=14, 22 46 10 106 40 46

SPT(16)	2909968830018761359	0 28 78 84 94 118 132 142 210 220 234 258 268 274 324 352	-1805994403828
SPT(16)	2909969131605063823	0 36 40 66 136 148 240 246 268 274 366 378 448 474 478 514	-1504408101364
STPT(10)	2909969620841378279	0 2 30 32 60 62 90 92 120 122	-1015171786908
SPT(16)	2909969757788291581	0 36 40 60 82 120 136 172 210 246 262 300 322 342 346 382	-878224873606
STPT(10)	2909970534220314161	0 2 36 38 78 80 120 122 156 158	-101792851026
STPT(10)	2909970632684031947	0 2 30 32 60 62 90 92 120 122	-3329133240
SPT(16)	2909970837277727683	0 54 166 186 210 228 234 256 258 280 286 304 328 348 460 514	201264562496
TPT(14)	2909970906818853749	0 2 42 44 48 50 102 104 180 182 300 302 342 344	270805688562
SPT(16)	2909971116497164127	0 2 50 56 126 134 176 206 210 240 282 290 360 366 414 416	480483998940
STPT(10)	2909971208650269857	0 2 30 32 60 62 90 92 120 122	572637104670
SPT(16)	2909971388533735403	0 14 20 44 126 128 146 174 230 258 276 278 360 384 390 404	752520570216