Prime p₀= 2507727651340524449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 166 2 76 2 22 2 58 2 76 2 (?)
a_n: 0 2 12 14 180 182 258 260 282 284 342 344 420 422
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: 422
Found by: JayPi
db: batch=82, k=14, 10 166 76 22 58 76

STPT(10)	2507726682625067327	0 2 12 14 72 74 132 134 144 146	-968715457122
SPT(16)	2507727241395503249	0 12 38 68 90 92 104 134 168 198 210 212 234 264 290 302	-409945021200
SPT(16)	2507727270062777177	0 20 44 60 62 114 140 150 164 174 200 252 254 270 294 314	-381277747272
STPT(10)	2507727290793941927	0 2 42 44 72 74 102 104 144 146	-360546582522
SPT(16)	2507727433264008323	0 14 156 168 170 174 198 210 224 236 260 264 266 278 420 434	-218076516126
SPT(16)	2507727633201066011	0 2 38 42 80 86 102 140 168 206 222 228 266 270 306 308	-18139458438
SPT(16)	2507727692319022583	0 68 78 116 138 176 218 260 264 306 348 386 408 446 456 524	40978498134
STPT(10)	2507727742789070717	0 2 24 26 42 44 60 62 84 86	91448546268
SPT(16)	2507727870452849477	0 30 80 90 110 156 212 236 270 294 350 396 416 426 476 506	219112325028
SPT(16)	2507727889489120651	0 12 52 66 78 106 136 160 168 192 222 250 262 276 316 328	238148596202
SPT(16)	2507728140462746359	0 78 114 142 144 174 190 198 244 252 268 298 300 328 364 442	489122221910