Prime p₀= 1253197451645460701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 76 2 28 2 22 2 124 2 40 2 (?)
a_n: 0 2 78 80 156 158 186 188 210 212 336 338 378 380
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: 380
Found by: Theadalus
db: batch=77, k=14, 76 76 28 22 124 40

SPT(16)	1253196359780614061	0 26 36 42 68 72 80 120 128 168 176 180 206 212 222 248	-1091864846640
SPT(16)	1253196765693187291	0 6 36 82 100 118 138 162 166 190 210 228 246 292 322 328	-685952273410
STPT(10)	1253196889383112547	0 2 30 32 42 44 54 56 84 86	-562262348154
SPT(16)	1253196930990404381	0 38 50 56 78 92 156 200 258 302 366 380 402 408 420 458	-520655056320
STPT(10)	1253196943233285599	0 2 48 50 90 92 132 134 180 182	-508412175102
SPT(16)	1253197001631789703	0 10 48 60 114 118 130 184 210 264 276 280 334 346 384 394	-450013670998
STPT(10)	1253197546312599047	0 2 30 32 42 44 54 56 84 86	94667138346
STPT(10)	1253197853873791949	0 2 12 14 30 32 48 50 60 62	402228331248
STPT(10)	1253198040916466471	0 2 30 32 78 80 126 128 156 158	589271005770
STPT(10)	1253198041446801641	0 2 36 38 78 80 120 122 156 158	589801340940
STPT(10)	1253198123852277917	0 2 30 32 42 44 54 56 84 86	672206817216