Prime p₀= 2670881878280677151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 94 2 22 2 28 2 178 2 (?)
a_n: 0 2 30 32 60 62 156 158 180 182 210 212 390 392
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: 392
Found by: suriv
db: batch=82, k=14, 28 28 94 22 28 178

SPT(16)	2670879724647472721	0 32 38 56 102 120 138 186 242 290 308 326 372 390 396 428	-2153633204430
SPT(16)	2670880152684290611	0 18 36 58 82 102 106 120 148 162 166 186 210 232 250 268	-1725596386540
STPT(10)	2670880206547043459	0 2 78 80 150 152 222 224 300 302	-1671733633692
SPT(16)	2670880233174337531	0 28 46 58 72 76 78 118 210 250 252 256 270 282 300 328	-1645106339620
SPT(16)	2670880377444769943	0 8 14 24 36 68 98 110 234 246 276 308 320 330 336 344	-1500835907208
SPT(16)	2670881300838015457	0 66 70 90 96 222 244 262 264 282 304 430 436 456 460 526	-577442661694
STPT(10)	2670882455861858837	0 2 30 32 42 44 54 56 84 86	577581181686
STPT(10)	2670882504329146451	0 2 36 38 78 80 120 122 156 158	626048469300
SPT(16)	2670882683020721693	0 18 20 56 84 90 98 128 156 186 194 200 228 264 266 284	804740044542
STPT(10)	2670882948449834969	0 2 42 44 90 92 138 140 180 182	1070169157818
SPT(13)	2670883031653192633	0 30 60 78 90 120 144 168 198 210 228 258 288	1153372515482