Prime p₀= 2336086547353281167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 46 2 28 2 10 2 64 2 (?)
a_n: 0 2 42 44 54 56 102 104 132 134 144 146 210 212
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: Landjunge
db: batch=81, k=14, 40 10 46 28 10 64

STPT(10)	2336085772560188807	0 2 30 32 72 74 114 116 144 146	-774793092360
STPT(10)	2336085924863629007	0 2 24 26 42 44 60 62 84 86	-622489652160
SPT(16)	2336085953624408263	0 4 54 78 88 90 154 174 244 264 328 330 340 364 414 418	-593728872904
SPT(16)	2336085959700198649	0 28 52 118 124 132 144 168 184 208 220 228 234 300 324 352	-587653082518
SPT(16)	2336085968956720727	0 32 80 84 104 140 146 152 174 180 186 222 242 246 294 326	-578396560440
STPT(10)	2336086521285027881	0 2 108 110 138 140 168 170 276 278	-26068253286
STPT(12)	2336086812884641499	0 2 48 50 102 104 168 170 222 224 270 272	265531360332
STPT(10)	2336086837556204657	0 2 12 14 42 44 72 74 84 86	290202923490
SPT(16)	2336086860969402599	0 42 92 114 122 188 192 210 212 230 234 300 308 330 380 422	313616121432
STPT(10)	2336086885985675321	0 2 36 38 78 80 120 122 156 158	338632394154
SPT(16)	2336086989351625087	0 4 70 90 120 156 232 240 256 264 340 376 406 426 492 496	441998343920