Prime p₀= 2257313699131779107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 76 2 16 2 70 2 10 2 (?)
a_n: 0 2 54 56 84 86 162 164 180 182 252 254 264 266
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: 266
Found by: JayPi
db: batch=81, k=14, 52 28 76 16 70 10

SPT(16)	2257312300190760133	0 6 16 60 84 94 100 154 156 210 216 226 250 294 304 310	-1398941018974
SPT(16)	2257312388406315689	0 14 18 38 50 60 72 98 144 170 182 192 204 224 228 242	-1310725463418
SPT(16)	2257312726398918403	0 40 46 90 108 160 174 204 220 250 264 316 334 378 384 424	-972732860704
STPT(10)	2257312837093828271	0 2 6 8 18 20 30 32 36 38	-862037950836
SPT(16)	2257313100247609771	0 22 66 78 90 112 118 132 226 240 246 268 280 292 336 358	-598884169336
TPT(14)	2257313210951974661	0 2 66 68 90 92 210 212 246 248 426 428 456 458	-488179804446
STPT(10)	2257313749679481947	0 2 24 26 42 44 60 62 84 86	50547702840
STPT(10)	2257313790622482257	0 2 30 32 42 44 54 56 84 86	91490703150
SPT(16)	2257314068224532593	0 16 28 66 78 100 150 204 310 364 414 436 448 486 498 514	369092753486
TPT(14)	2257314275235136079	0 2 18 20 30 32 42 44 198 200 210 212 240 242	576103356972
SPT(16)	2257314453587104993	0 34 48 156 160 174 186 198 256 268 280 294 298 406 420 454	754455325886