Prime p₀= 2776305354174836039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 178 2 22 2 28 2 28 2 (?)
a_n: 0 2 108 110 138 140 318 320 342 344 372 374 402 404
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: 404
Found by: JayPi
db: batch=82, k=14, 106 28 178 22 28 28

STPT(10)	2776303782162941801	0 2 156 158 168 170 180 182 336 338	-1572011894238
TPT(14)	2776304211695712107	0 2 210 212 252 254 282 284 354 356 384 386 390 392	-1142479123932
SPT(16)	2776304600449571141	0 26 42 48 56 68 110 122 156 168 210 222 230 236 252 278	-753725264898
SPT(16)	2776304611315023059	0 20 32 42 60 62 78 110 252 284 300 302 320 330 342 362	-742859812980
TPT(14)	2776304763553780799	0 2 18 20 132 134 138 140 168 170 198 200 228 230	-590621055240
SPT(16)	2776305187476323519	0 20 32 44 78 102 104 162 170 228 230 254 288 300 312 332	-166698512520
SPT(16)	2776305425139495071	0 30 32 72 78 98 140 182 258 300 342 362 368 408 410 440	70964659032
STPT(10)	2776305515489019329	0 2 12 14 30 32 48 50 60 62	161314183290
TPT(14)	2776305832260891941	0 2 6 8 36 38 96 98 126 128 138 140 150 152	478086055902
STPT(10)	2776306095811512917	0 2 42 44 102 104 162 164 204 206	741636676878
STPT(10)	2776306695746356439	0 2 78 80 120 122 162 164 240 242	1341571520400