Prime p₀= 2044715850820867949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 10 2 28 2 166 2 (?)
a_n: 0 2 18 20 30 32 60 62 72 74 102 104 270 272
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: 272
Found by: Landjunge
db: batch=80, k=14, 16 10 28 10 28 166

STPT(10)	2044714617944188781	0 2 90 92 108 110 126 128 216 218	-1232876679168
SPT(16)	2044714719566281151	0 8 86 102 110 120 126 146 252 272 278 288 296 312 390 398	-1131254586798
STPT(10)	2044714896042488237	0 2 12 14 42 44 72 74 84 86	-954778379712
TPT(14)	2044714903840818059	0 2 30 32 42 44 102 104 132 134 168 170 180 182	-946980049890
SPT(16)	2044714971633347879	0 24 68 90 92 108 120 134 138 152 164 180 182 204 248 272	-879187520070
SPT(16)	2044715419626880543	0 34 36 54 60 90 126 144 190 208 244 274 280 298 300 334	-431193987406
SPT(16)	2044715970291847991	0 20 48 78 80 92 152 218 222 288 348 360 362 392 420 440	119470980042
SPT(16)	2044716603452216809	0 34 42 64 82 84 90 108 124 142 148 150 168 190 198 232	752631348860
STPT(10)	2044716829233115949	0 2 18 20 30 32 42 44 60 62	978412248000
SPT(16)	2044716922668871799	0 78 90 132 138 150 162 200 462 500 512 524 530 572 584 662	1071848003850
TPT(14)	2044717424361314069	0 2 42 44 48 50 90 92 108 110 132 134 168 170	1573540446120