Prime p₀= 2499979243541019101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 58 2 22 2 76 2 76 2 10 2 (?)
a_n: 0 2 36 38 96 98 120 122 198 200 276 278 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 34 58 22 76 76 10

STPT(10)	2499977900014522979	0 2 18 20 30 32 42 44 60 62	-1343526496122
SPT(16)	2499978358115023873	0 36 48 58 118 126 156 180 226 250 280 288 348 358 370 406	-885425995228
STPT(10)	2499978376950823589	0 2 18 20 30 32 42 44 60 62	-866590195512
STPT(10)	2499978739556608361	0 2 6 8 18 20 30 32 36 38	-503984410740
STPT(10)	2499978921322607897	0 2 12 14 42 44 72 74 84 86	-322218411204
TPT(14)	2499979098340621559	0 2 30 32 60 62 138 140 198 200 228 230 270 272	-145200397542
STPT(10)	2499979347942006179	0 2 18 20 30 32 42 44 60 62	104400987078
SPT(16)	2499979581951491929	0 58 72 90 142 148 168 210 220 262 282 288 340 358 372 430	338410472828
STPT(10)	2499979605649310051	0 2 36 38 78 80 120 122 156 158	362108290950
SPT(16)	2499979918915844551	0 6 58 72 90 112 142 190 258 306 336 358 376 390 442 448	675374825450
STPT(10)	2499980077643204171	0 2 36 38 78 80 120 122 156 158	834102185070