Prime p₀= 1062357507533784167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 4 2 130 2 40 2 34 2 (?)
a_n: 0 2 30 32 54 56 60 62 192 194 234 236 270 272
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: 272
Found by: stoneageman
db: batch=76, k=14, 28 22 4 130 40 34

SPT(16)	1062355076351553043	0 24 54 78 108 166 174 180 274 280 288 346 376 400 430 454	-2431182231124
TPT(14)	1062355642964826641	0 2 60 62 90 92 210 212 300 302 390 392 426 428	-1864568957526
STPT(10)	1062355877027359511	0 2 36 38 78 80 120 122 156 158	-1630506424656
STPT(10)	1062356608330437179	0 2 12 14 90 92 168 170 180 182	-899203346988
TPT(14)	1062356785394191541	0 2 48 50 60 62 198 200 210 212 270 272 288 290	-722139592626
TPT(14)	1062356794321352819	0 2 102 104 168 170 210 212 240 242 252 254 300 302	-713212431348
STPT(10)	1062357667442284061	0 2 30 32 60 62 90 92 120 122	159908499894
TPT(14)	1062358763464835069	0 2 30 32 60 62 72 74 78 80 252 254 270 272	1255931050902
STPT(10)	1062358968832859021	0 2 36 38 78 80 120 122 156 158	1461299074854
SPT(16)	1062359317829665951	0 12 18 42 60 78 96 102 106 112 130 148 166 190 196 208	1810295881784
STPT(12)	1062359349157136999	0 2 12 14 42 44 48 50 78 80 90 92	1841623352832