Prime p₀= 976667673603407699 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 28 2 106 2 40 2 16 2 (?)
a_n: 0 2 12 14 60 62 90 92 198 200 240 242 258 260
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: 260
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 10 46 28 106 40 16

SPT(16)	976665691680847219	0 22 34 52 72 88 102 130 132 160 174 190 210 228 240 262	-1981922560480
STPT(10)	976666207162256519	0 2 18 20 30 32 42 44 60 62	-1466441151180
STPT(10)	976666281124403447	0 2 30 32 42 44 54 56 84 86	-1392479004252
TPT(14)	976666384091274341	0 2 36 38 48 50 90 92 108 110 150 152 210 212	-1289512133358
STPT(10)	976666603756602929	0 2 18 20 30 32 42 44 60 62	-1069846804770
TPT(16)	976666658500464707	0 2 12 14 42 44 114 116 252 254 354 356 402 404 462 464	-1015102942992
SPT(13)	976667708923662331	0 6 42 102 120 132 186 240 252 270 330 366 372	35320254632
SPT(16)	976667836816334563	0 60 106 118 148 160 168 274 300 406 414 426 456 468 514 574	163212926864
SPT(16)	976668047022785671	0 12 58 72 82 102 112 130 138 156 166 186 196 210 256 268	373419377972
STPT(10)	976668315236039927	0 2 54 56 72 74 90 92 144 146	641632632228
SPT(16)	976668828040927387	0 42 60 66 100 112 142 172 174 204 234 246 280 286 304 346	1154437519688