Prime p₀= 2746567916132602127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 4 2 148 2 70 2 10 2 64 2 (?)
a_n: 0 2 54 56 60 62 210 212 282 284 294 296 360 362
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: 362
Found by: JayPi
db: batch=82, k=14, 52 4 148 70 10 64

STPT(10)	2746566177753251669	0 2 12 14 30 32 48 50 60 62	-1738379350458
STPT(10)	2746566179697617477	0 2 54 56 72 74 90 92 144 146	-1736434984650
SPT(16)	2746566710019461501	0 30 50 98 110 128 152 162 188 198 222 240 252 300 320 350	-1206113140626
SPT(16)	2746567032139253789	0 20 30 42 68 74 90 98 144 152 168 174 200 212 222 242	-883993348338
SPT(16)	2746567164595768061	0 30 38 56 116 176 252 270 308 326 402 462 522 540 548 578	-751536834066
STPT(10)	2746567749034267139	0 2 18 20 60 62 102 104 120 122	-167098334988
SPT(16)	2746568133973370261	0 8 20 36 90 98 128 140 156 168 198 206 260 276 288 296	217840768134
STPT(10)	2746568227669835027	0 2 30 32 42 44 54 56 84 86	311537232900
TPT(14)	2746568560789512887	0 2 24 26 42 44 72 74 84 86 114 116 162 164	644656910760
STPT(10)	2746569143899574177	0 2 30 32 60 62 90 92 120 122	1227766972050
STPT(10)	2746569256331279537	0 2 12 14 72 74 132 134 144 146	1340198677410