Prime p₀= 1976565074375079161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 10 2 10 2 28 2 4 2 (?)
a_n: 0 2 30 32 96 98 108 110 120 122 150 152 156 158
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: 158
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 28 64 10 10 28 4

SPT(16)	1976563858828211923	0 34 40 64 70 88 138 160 174 196 246 264 270 294 300 334	-1215546867238
SPT(16)	1976563892892580853	0 8 26 30 86 114 116 120 134 138 140 168 224 228 246 254	-1181482498308
SPT(16)	1976563927923694817	0 42 50 60 74 92 152 180 224 252 312 330 344 354 362 404	-1146451384344
STPT(10)	1976564235474521489	0 2 18 20 30 32 42 44 60 62	-838900557672
STPT(10)	1976564515807684679	0 2 30 32 60 62 90 92 120 122	-558567394482
SPT(16)	1976564693536877531	0 8 26 66 68 80 92 98 150 156 168 180 182 222 240 248	-380838201630
STPT(10)	1976565488978323457	0 2 30 32 42 44 54 56 84 86	414603244296
SPT(16)	1976565540969362471	0 30 62 66 86 98 146 156 182 192 240 252 272 276 308 338	466594283310
STPT(10)	1976565566901085211	0 2 6 8 18 20 30 32 36 38	492526006050
STPT(10)	1976566231259749781	0 2 36 38 78 80 120 122 156 158	1156884670620
STPT(10)	1976566401420001751	0 2 6 8 48 50 90 92 96 98	1327044922590