Prime p₀= 2625791121111430247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 76 2 10 2 28 2 10 2 (?)
a_n: 0 2 24 26 42 44 120 122 132 134 162 164 174 176
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: 176
Found by: JayPi
db: batch=82, k=14, 22 16 76 10 28 10

TPT(14)	2625789991635892799	0 2 18 20 48 50 198 200 240 242 252 254 300 302	-1129475537448
STPT(10)	2625790205290398899	0 2 18 20 30 32 42 44 60 62	-915821031348
SPT(16)	2625790398527807387	0 56 60 84 86 120 134 140 186 192 206 240 242 266 270 326	-722583622860
SPT(16)	2625790463407058663	0 6 8 20 104 128 176 198 266 288 336 360 444 456 458 464	-657704371584
SPT(16)	2625790635846109181	0 32 36 60 66 72 102 140 192 230 260 266 272 296 300 332	-485265321066
STPT(10)	2625790709530358441	0 2 30 32 78 80 126 128 156 158	-411581071806
SPT(16)	2625791586208842299	0 20 50 72 128 152 180 188 204 212 240 264 320 342 372 392	465097412052
SPT(16)	2625791699354391241	0 16 66 90 108 178 192 226 372 406 420 490 508 532 582 598	578242960994
STPT(10)	2625791741214934727	0 2 30 32 42 44 54 56 84 86	620103504480
SPT(16)	2625791853606796709	0 30 38 42 74 84 92 162 170 240 248 258 290 294 302 332	732495366462
SPT(16)	2625791981913276949	0 42 70 90 100 180 204 220 222 238 262 342 352 372 400 442	860801846702