Prime p₀= 2040669363796942607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 106 2 58 2 28 2 10 2 (?)
a_n: 0 2 24 26 42 44 150 152 210 212 240 242 252 254
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: 254
Found by: eclipse99
db: batch=80, k=14, 22 16 106 58 28 10

STPT(10)	2040668298945265469	0 2 18 20 30 32 42 44 60 62	-1064851677138
SPT(16)	2040668428515672517	0 16 30 60 66 100 102 126 130 154 156 190 196 226 240 256	-935281270090
STPT(10)	2040668440891676117	0 2 30 32 42 44 54 56 84 86	-922905266490
TPT(14)	2040668812412043041	0 2 18 20 60 62 96 98 156 158 180 182 216 218	-551384899566
STPT(10)	2040668928564202379	0 2 42 44 60 62 78 80 120 122	-435232740228
SPT(16)	2040668986153050307	0 46 52 60 70 112 192 222 250 280 360 402 412 420 426 472	-377643892300
SPT(16)	2040669425337139481	0 2 8 26 30 42 48 86 132 170 176 188 192 210 216 218	61540196874
STPT(10)	2040669964165382549	0 2 18 20 30 32 42 44 60 62	600368439942
SPT(16)	2040670060900485397	0 60 66 96 106 166 180 186 214 220 234 294 304 334 340 400	697103542790
SPT(16)	2040670155332370311	0 26 32 38 80 110 126 150 158 182 198 228 270 276 282 308	791535427704
STPT(10)	2040670225791379067	0 2 30 32 72 74 114 116 144 146	861994436460