Prime p₀= 2756679415811263277 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 28 2 22 2 64 2 40 2 (?)
a_n: 0 2 12 14 30 32 60 62 84 86 150 152 192 194
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: 194
Found by: JayPi
db: batch=82, k=14, 10 16 28 22 64 40

SPT(16)	2756677351101951313	0 10 18 36 46 64 70 88 126 144 150 168 178 196 204 214	-2064709311964
STPT(10)	2756677510869231251	0 2 30 32 78 80 126 128 156 158	-1904942032026
SPT(16)	2756677577764034047	0 16 40 76 102 114 126 142 144 160 172 184 210 246 270 286	-1838047229230
SPT(16)	2756678269429521103	0 76 90 168 186 198 210 216 310 316 328 340 358 436 450 526	-1146381742174
SPT(16)	2756679008971587361	0 22 30 36 60 172 186 190 252 256 270 382 406 412 420 442	-406839675916
STPT(10)	2756679313153214789	0 2 18 20 30 32 42 44 60 62	-102658048488
SPT(16)	2756679901627330153	0 10 60 66 76 94 118 138 166 186 210 228 238 244 294 304	485816066876
STPT(10)	2756680046006503889	0 2 18 20 30 32 42 44 60 62	630195240612
SPT(16)	2756680077924194621	0 12 26 30 50 78 80 108 110 138 140 168 188 192 206 218	662112931344
SPT(16)	2756680124649808793	0 18 24 38 90 104 144 170 228 254 294 308 360 374 380 398	708838545516
STPT(10)	2756680207384984499	0 2 12 14 90 92 168 170 180 182	791573721222