Prime p₀= 2539658810800242809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 28 2 10 2 118 2 46 2 (?)
a_n: 0 2 42 44 108 110 138 140 150 152 270 272 318 320
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: 320
Found by: JayPi
db: batch=82, k=14, 40 64 28 10 118 46

STPT(10)	2539657609740567221	0 2 6 8 48 50 90 92 96 98	-1201059675588
TPT(14)	2539657884687750599	0 2 78 80 90 92 168 170 192 194 210 212 222 224	-926112492210
TPT(14)	2539658070074129729	0 2 18 20 60 62 102 104 132 134 138 140 180 182	-740726113080
SPT(16)	2539658399693313607	0 34 42 60 64 132 144 190 216 262 274 342 346 364 372 406	-411106929202
SPT(16)	2539658522929522583	0 26 80 120 128 156 168 180 194 206 218 246 254 294 348 374	-287870720226
SPT(16)	2539658788872836249	0 42 68 78 90 98 120 150 152 182 204 212 224 234 260 302	-21927406560
STPT(10)	2539658974386413147	0 2 30 32 72 74 114 116 144 146	163586170338
SPT(16)	2539659330598312799	0 30 44 48 50 60 104 108 140 144 188 198 200 204 218 248	519798069990
STPT(10)	2539659429126332267	0 2 30 32 42 44 54 56 84 86	618326089458
STPT(10)	2539659469532697929	0 2 18 20 30 32 42 44 60 62	658732455120
SPT(13)	2539659497871949729	0 12 30 42 48 72 90 108 132 138 150 168 180	687071706920