Prime p₀= 2257282180357500227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 28 2 88 2 58 2 16 2 (?)
a_n: 0 2 24 26 42 44 72 74 162 164 222 224 240 242
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: 242
Found by: JayPi
db: batch=81, k=14, 22 16 28 88 58 16

SPT(16)	2257279815496016911	0 6 10 28 66 78 96 118 138 160 178 190 228 246 250 256	-2364861483316
SPT(16)	2257279998901604771	0 20 42 48 56 122 138 182 246 290 306 372 380 386 408 428	-2181455895456
TPT(14)	2257280173034915057	0 2 12 14 30 32 84 86 150 152 240 242 264 266	-2007322585170
STPT(10)	2257280468784478211	0 2 6 8 48 50 90 92 96 98	-1711573022016
STPT(12)	2257280826523684319	0 2 138 140 150 152 210 212 222 224 360 362	-1353833815908
SPT(16)	2257281088197646573	0 6 10 24 66 96 100 124 186 210 214 244 286 300 304 310	-1092159853654
SPT(16)	2257282524015384391	0 42 66 82 136 172 196 250 282 336 360 396 450 466 490 532	343657884164
STPT(10)	2257282964592257057	0 2 30 32 42 44 54 56 84 86	784234756830
TPT(14)	2257282985865924629	0 2 18 20 30 32 90 92 132 134 228 230 270 272	805508424402
SPT(16)	2257283706133315891	0 16 58 82 120 150 162 210 388 436 448 478 516 540 582 598	1525775815664
SPT(16)	2257283802182084671	0 22 78 90 100 102 160 168 220 228 286 288 298 310 366 388	1621824584444