Prime p₀= 976017680907486821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 52 2 76 2 46 2 22 2 (?)
a_n: 0 2 30 32 36 38 90 92 168 170 216 218 240 242
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: 242
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 28 4 52 76 46 22

SPT(16)	976016481462536909	0 92 108 152 204 212 224 248 264 288 300 308 360 404 420 512	-1199444949912
STPT(10)	976016573306504669	0 2 30 32 60 62 90 92 120 122	-1107600982152
STPT(10)	976016896481718527	0 2 42 44 72 74 102 104 144 146	-784425768294
SPT(16)	976017282631757579	0 2 44 54 104 110 122 134 168 180 192 198 248 258 300 302	-398275729242
STPT(10)	976017586558997831	0 2 36 38 78 80 120 122 156 158	-94348488990
SPT(16)	976017665325667249	0 10 60 70 88 90 120 162 220 262 292 294 312 322 372 382	-15581819572
STPT(10)	976017872798204441	0 2 6 8 18 20 30 32 36 38	191890717620
SPT(16)	976017946109837119	0 4 24 54 102 114 142 150 214 222 250 262 310 340 360 364	265202350298
SPT(16)	976018344156774671	0 2 26 32 78 90 110 146 252 288 308 320 366 372 396 398	663249287850
TPT(14)	976018908292506059	0 2 18 20 78 80 132 134 168 170 252 254 258 260	1227385019238
STPT(10)	976018942207766057	0 2 12 14 42 44 72 74 84 86	1261300279236