Prime p₀= 2362561049886471521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 28 2 28 2 10 2 28 2 (?)
a_n: 0 2 36 38 66 68 96 98 126 128 138 140 168 170
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: Landjunge
db: batch=81, k=14, 34 28 28 28 10 28

STPT(10)	2362559331223614137	0 2 24 26 42 44 60 62 84 86	-1718662857384
SPT(16)	2362559795347538669	0 32 38 60 78 80 122 152 168 198 240 242 260 282 288 320	-1254538932852
SPT(16)	2362560021738091271	0 42 78 122 222 260 266 270 308 312 318 356 456 500 536 578	-1028148380250
SPT(16)	2362560379886037103	0 54 84 94 100 114 126 136 138 148 160 174 180 190 220 274	-670000434418
STPT(10)	2362560469108416077	0 2 54 56 72 74 90 92 144 146	-580778055444
SPT(16)	2362560867824265359	0 20 42 44 72 98 164 174 188 198 264 290 318 320 342 362	-182062206162
STPT(10)	2362561067064649481	0 2 30 32 60 62 90 92 120 122	17178177960
STPT(10)	2362561070802153017	0 2 24 26 42 44 60 62 84 86	20915681496
SPT(16)	2362561460444536073	0 6 8 56 66 90 104 120 134 150 164 188 198 246 248 254	410558064552
STPT(10)	2362561469783113271	0 2 30 32 78 80 126 128 156 158	419896641750
SPT(16)	2362561517199624437	0 2 26 42 56 86 90 114 152 176 180 210 224 240 264 266	467313152916