Prime p₀= 2623802330487188687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 10 2 10 2 28 2 64 2 (?)
a_n: 0 2 42 44 90 92 102 104 114 116 144 146 210 212
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: 212
Found by: fzs600
db: batch=82, k=14, 40 46 10 10 28 64

SPT(16)	2623800284704633171	0 18 22 70 90 118 132 142 186 196 210 238 258 306 310 328	-2045782555516
STPT(10)	2623800819373941419	0 2 42 44 60 62 78 80 120 122	-1511113247268
SPT(16)	2623801189053667141	0 18 46 100 120 156 168 186 190 208 220 256 276 330 358 376	-1141433521546
STPT(10)	2623801330494504857	0 2 30 32 72 74 114 116 144 146	-999992683830
STPT(10)	2623801360094732171	0 2 6 8 48 50 90 92 96 98	-970392456516
TPT(14)	2623802239212822179	0 2 12 14 78 80 150 152 198 200 210 212 348 350	-91274366508
SPT(16)	2623802631151037383	0 4 78 88 106 108 124 136 138 150 166 168 186 196 270 274	300663848696
SPT(18)	2623802807850926747	0 2 26 42 50 92 104 114 132 134 152 162 174 216 224 240 264 266	477363738060
STPT(10)	2623803059490597539	0 2 18 20 60 62 102 104 120 122	729003408852
SPT(16)	2623804242625625197	0 10 12 34 52 54 84 90 166 172 202 204 222 244 246 256	1912138436510
TPT(14)	2623804399764085037	0 2 90 92 210 212 222 224 264 266 360 362 414 416	2069276896350