Prime p₀= 2760776290572119777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 28 2 106 2 16 2 220 2 (?)
a_n: 0 2 12 14 84 86 114 116 222 224 240 242 462 464
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: 464
Found by: Coleslaw
db: batch=82, k=14, 10 70 28 106 16 220

STPT(10)	2760775441521867821	0 2 6 8 18 20 30 32 36 38	-849050251956
SPT(16)	2760775540167325139	0 2 68 72 180 182 210 224 228 242 270 272 380 384 450 452	-750404794638
SPT(16)	2760775734848910841	0 60 130 156 168 178 192 258 280 346 360 370 382 408 478 538	-555723208936
SPT(16)	2760775779124176937	0 4 12 22 106 114 120 142 144 166 172 180 264 274 282 286	-511447942840
STPT(10)	2760775835433770027	0 2 30 32 42 44 54 56 84 86	-455138349750
TPT(14)	2760776288135372459	0 2 30 32 42 44 78 80 162 164 192 194 210 212	-2436747318
STPT(10)	2760776365244134331	0 2 6 8 48 50 90 92 96 98	74672014554
SPT(16)	2760776556693088517	0 30 42 72 90 204 240 254 342 356 392 506 524 554 566 596	266120968740
STPT(10)	2760776819135721479	0 2 18 20 30 32 42 44 60 62	528563601702
SPT(16)	2760776911433199773	0 8 50 98 158 240 248 288 296 336 344 426 486 534 576 584	620861079996
SPT(16)	2760777397575449209	0 24 40 42 72 102 118 174 178 234 250 280 310 312 328 352	1107003329432