Prime p₀= 1941648800836138211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 154 2 10 2 40 2 28 2 64 2 (?)
a_n: 0 2 30 32 186 188 198 200 240 242 270 272 336 338
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: 338
Found by: Josemi
db: batch=80, k=14, 28 154 10 40 28 64

SPT(16)	1941647620899047093	0 36 54 60 68 74 84 90 104 110 120 126 134 140 158 194	-1179937091118
STPT(10)	1941647652643079651	0 2 6 8 48 50 90 92 96 98	-1148193058560
STPT(10)	1941647862572732957	0 2 30 32 42 44 54 56 84 86	-938263405254
SPT(16)	1941647973363923017	0 36 96 112 174 202 232 264 352 384 414 442 504 520 580 616	-827472215194
SPT(16)	1941648206675741497	0 16 22 24 66 90 156 234 292 370 436 460 502 504 510 526	-594160396714
STPT(10)	1941648420055630367	0 2 54 56 72 74 90 92 144 146	-380780507844
STPT(10)	1941648857051421611	0 2 36 38 78 80 120 122 156 158	56215283400
STPT(10)	1941648919199718899	0 2 18 20 30 32 42 44 60 62	118363580688
SPT(16)	1941649198509600337	0 16 24 30 72 76 112 172 174 234 270 274 316 322 330 346	397673462126
TPT(14)	1941649398425150387	0 2 72 74 114 116 150 152 162 164 210 212 252 254	597589012176
SPT(16)	1941649401113532457	0 36 46 70 106 112 114 142 144 172 174 180 216 240 250 286	600277394246