Prime p₀= 2810355498129013529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 60 62 78 80 90 92 120 122 132 134 168 170
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: [SG-FC] hl
db: batch=82, k=14, 58 16 10 28 10 34

STPT(10)	2810353209683864321	0 2 36 38 78 80 120 122 156 158	-2288445149208
SPT(16)	2810353750552307779	0 4 22 42 52 78 88 102 130 144 154 180 190 210 228 232	-1747576705750
SPT(16)	2810354262709045991	0 2 8 30 72 78 138 152 228 242 302 308 350 372 378 380	-1235419967538
SPT(16)	2810354682259424611	0 10 16 42 90 100 112 126 142 156 168 178 226 252 258 268	-815869588918
STPT(10)	2810355251313236951	0 2 30 32 78 80 126 128 156 158	-246815776578
STPT(10)	2810355357467639867	0 2 30 32 72 74 114 116 144 146	-140661373662
SPT(16)	2810356117068290711	0 6 18 48 110 116 140 170 186 216 240 246 308 338 350 356	618939277182
STPT(10)	2810356213706157239	0 2 12 14 30 32 48 50 60 62	715577143710
STPT(10)	2810356335249676427	0 2 30 32 42 44 54 56 84 86	837120662898
SPT(16)	2810356351973189489	0 42 92 98 158 162 170 194 228 252 260 264 324 330 380 422	853844175960
SPT(16)	2810356362591244361	0 32 48 68 96 116 140 156 182 198 222 242 270 290 306 338	864462230832