Prime p₀= 2044717424361314069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 40 2 16 2 22 2 34 2 (?)
a_n: 0 2 42 44 48 50 90 92 108 110 132 134 168 170
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: 170
Found by: arkiss
db: batch=80, k=14, 40 4 40 16 22 34

SPT(16)	2044715419626880543	0 34 36 54 60 90 126 144 190 208 244 274 280 298 300 334	-2004734433526
TPT(14)	2044715850820867949	0 2 18 20 30 32 60 62 72 74 102 104 270 272	-1573540446120
SPT(16)	2044715970291847991	0 20 48 78 80 92 152 218 222 288 348 360 362 392 420 440	-1454069466078
SPT(16)	2044716603452216809	0 34 42 64 82 84 90 108 124 142 148 150 168 190 198 232	-820909097260
STPT(10)	2044716829233115949	0 2 18 20 30 32 42 44 60 62	-595128198120
SPT(16)	2044716922668871799	0 78 90 132 138 150 162 200 462 500 512 524 530 572 584 662	-501692442270
STPT(10)	2044717457480725847	0 2 30 32 42 44 54 56 84 86	33119411778
STPT(10)	2044717641780835919	0 2 18 20 30 32 42 44 60 62	217419521850
TPT(14)	2044718034496310477	0 2 12 14 42 44 192 194 234 236 252 254 384 386	610134996408
SPT(16)	2044718309616066269	0 30 42 72 110 150 174 194 318 338 362 402 440 470 482 512	885254752200
SPT(16)	2044718410155306563	0 30 60 66 98 140 200 210 314 324 384 426 458 464 494 524	985793992494