Prime p₀= 2777622838176769829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 136 2 76 2 142 2 16 2 (?)
a_n: 0 2 42 44 72 74 210 212 288 290 432 434 450 452
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: 452
Found by: JayPi
db: batch=82, k=14, 40 28 136 76 142 16

SPT(16)	2777622105893271823	0 6 18 124 154 180 184 208 246 270 274 300 330 436 448 454	-732283498006
SPT(16)	2777622333798684433	0 18 34 48 84 94 130 136 168 174 210 220 256 270 286 304	-504378085396
TPT(14)	2777622387127402301	0 2 48 50 90 92 126 128 168 170 180 182 216 218	-451049367528
SPT(16)	2777622567957404197	0 10 34 42 64 72 94 120 184 210 232 240 262 270 294 304	-270219365632
SPT(16)	2777622635922360671	0 8 20 30 42 98 168 210 230 272 342 398 410 420 432 440	-202254409158
TPT(14)	2777622725072530331	0 2 66 68 96 98 138 140 216 218 318 320 426 428	-113104239498
STPT(10)	2777622842152192427	0 2 30 32 42 44 54 56 84 86	3975422598
SPT(16)	2777622905913173407	0 40 42 60 64 70 84 90 124 130 144 150 154 172 174 214	67736403578
SPT(16)	2777623123829218891	0 10 28 30 78 102 142 156 232 246 286 310 358 360 378 388	285652449062
STPT(10)	2777623167677105729	0 2 42 44 60 62 78 80 120 122	329500335900
STPT(10)	2777623691466264461	0 2 6 8 18 20 30 32 36 38	853289494632