Prime p₀= 2623802239212822179 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 70 2 46 2 10 2 136 2 (?)
a_n: 0 2 12 14 78 80 150 152 198 200 210 212 348 350
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: 350
Found by: fzs600
db: batch=82, k=14, 10 64 70 46 10 136

SPT(16)	2623800197713893701	0 2 60 66 68 98 116 126 182 192 210 240 242 248 306 308	-2041498928478
SPT(16)	2623800284704633171	0 18 22 70 90 118 132 142 186 196 210 238 258 306 310 328	-1954508189008
STPT(10)	2623800819373941419	0 2 42 44 60 62 78 80 120 122	-1419838880760
SPT(16)	2623801189053667141	0 18 46 100 120 156 168 186 190 208 220 256 276 330 358 376	-1050159155038
STPT(10)	2623801330494504857	0 2 30 32 72 74 114 116 144 146	-908718317322
STPT(10)	2623801360094732171	0 2 6 8 48 50 90 92 96 98	-879118090008
TPT(14)	2623802330487188687	0 2 42 44 90 92 102 104 114 116 144 146 210 212	91274366508
SPT(16)	2623802631151037383	0 4 78 88 106 108 124 136 138 150 166 168 186 196 270 274	391938215204
SPT(18)	2623802807850926747	0 2 26 42 50 92 104 114 132 134 152 162 174 216 224 240 264 266	568638104568
STPT(10)	2623803059490597539	0 2 18 20 60 62 102 104 120 122	820277775360
SPT(16)	2623804242625625197	0 10 12 34 52 54 84 90 166 172 202 204 222 244 246 256	2003412803018