Prime p₀= 2105721789532087511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 58 2 40 2 64 2 82 2 46 2 (?)
a_n: 0 2 108 110 168 170 210 212 276 278 360 362 408 410
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: 410
Found by: Landjunge
db: batch=80, k=14, 106 58 40 64 82 46

STPT(10)	2105720748269728517	0 2 42 44 72 74 102 104 144 146	-1041262358994
STPT(10)	2105720759095751129	0 2 12 14 90 92 168 170 180 182	-1030436336382
SPT(16)	2105720822237286173	0 24 44 50 80 138 156 170 174 188 206 264 294 300 320 344	-967294801338
STPT(10)	2105721127963115459	0 2 18 20 30 32 42 44 60 62	-661568972052
SPT(16)	2105721182028833077	0 10 16 46 132 142 156 216 256 316 330 340 426 456 462 472	-607503254434
SPT(16)	2105721484140895693	0 4 36 78 114 118 130 144 160 174 186 190 226 268 300 304	-305391191818
SPT(16)	2105721887826304129	0 4 70 82 100 154 172 198 214 240 258 312 330 342 408 412	98294216618
STPT(12)	2105722184227661759	0 2 12 14 42 44 60 62 90 92 102 104	394695574248
STPT(10)	2105722278534576641	0 2 36 38 78 80 120 122 156 158	489002489130
SPT(16)	2105722411386181097	0 30 32 44 54 74 80 110 144 174 180 200 210 222 224 254	621854093586
STPT(10)	2105722433372279999	0 2 12 14 90 92 168 170 180 182	643840192488