Prime p₀= 2866304642365200689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 16 2 10 2 16 2 10 2 (?)
a_n: 0 2 48 50 72 74 90 92 102 104 120 122 132 134
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: 134
Found by: Landjunge
db: batch=82, k=14, 46 22 16 10 16 10

SPT(16)	2866302903153035473	0 24 30 66 150 154 156 234 256 334 336 340 424 460 466 490	-1739212165216
STPT(10)	2866303503317280119	0 2 18 20 30 32 42 44 60 62	-1139047920570
SPT(16)	2866303563451215473	0 20 78 80 108 120 174 204 230 260 314 326 354 356 414 434	-1078913985216
TPT(16)	2866303740271576439	0 2 42 44 48 50 90 92 102 104 198 200 228 230 258 260	-902093624250
STPT(10)	2866303886191277471	0 2 30 32 60 62 90 92 120 122	-756173923218
TPT(14)	2866304314452424619	0 2 42 44 102 104 132 134 138 140 180 182 198 200	-327912776070
STPT(10)	2866304978571971939	0 2 30 32 60 62 90 92 120 122	336206771250
SPT(16)	2866305763591013801	0 72 92 96 120 128 156 168 290 302 330 338 362 366 386 458	1121225813112
STPT(10)	2866306204588294997	0 2 12 14 42 44 72 74 84 86	1562223094308
SPT(16)	2866307125943750147	0 24 32 50 80 120 152 200 204 252 284 324 354 372 380 404	2483578549458
SPT(16)	2866307150941914389	0 2 90 108 128 138 140 152 210 222 224 234 254 272 360 362	2508576713700