Prime p₀= 2879813832685877039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 28 2 70 2 40 2 (?)
a_n: 0 2 12 14 42 44 108 110 138 140 210 212 252 254
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: 254
Found by: [SG-FC] hl
db: batch=82, k=14, 10 28 64 28 70 40

SPT(16)	2879811466555123699	0 34 100 148 154 180 184 190 222 228 232 258 264 312 378 412	-2366130753340
STPT(10)	2879811513710570597	0 2 54 56 72 74 90 92 144 146	-2318975306442
SPT(16)	2879811607569241799	0 2 12 38 48 54 90 98 114 122 158 164 174 200 210 212	-2225116635240
STPT(10)	2879812289964691187	0 2 12 14 42 44 72 74 84 86	-1542721185852
SPT(16)	2879812532168520577	0 24 54 70 72 84 100 102 124 126 142 154 156 172 202 226	-1300517356462
SPT(16)	2879812604127087877	0 6 30 84 162 190 204 234 292 322 336 364 442 496 520 526	-1228558789162
SPT(16)	2879814062046053707	0 4 12 40 46 84 102 106 120 124 142 180 186 214 222 226	229360176668
STPT(10)	2879814086801490257	0 2 12 14 42 44 72 74 84 86	254115613218
SPT(16)	2879814529910613511	0 58 88 90 100 132 138 142 156 160 166 198 208 210 240 298	697224736472
STPT(10)	2879814539000529587	0 2 30 32 72 74 114 116 144 146	706314652548
STPT(10)	2879814638522957921	0 2 30 32 78 80 126 128 156 158	805837080882