Prime p₀= 3006696841201944311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 130 2 76 2 52 2 58 2 16 2 (?)
a_n: 0 2 66 68 198 200 276 278 330 332 390 392 408 410
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: 410
Found by: JayPi
db: batch=82, k=14, 64 130 76 52 58 16

TPT(14)	3006695074809464117	0 2 60 62 162 164 204 206 252 254 300 302 312 314	-1766392480194
STPT(10)	3006695356395732899	0 2 18 20 60 62 102 104 120 122	-1484806211412
STPT(10)	3006695633662144181	0 2 6 8 18 20 30 32 36 38	-1207539800130
STPT(10)	3006696227310996629	0 2 12 14 90 92 168 170 180 182	-613890947682
TPT(14)	3006696504494933207	0 2 42 44 72 74 114 116 144 146 180 182 324 326	-336707011104
STPT(10)	3006696553291029419	0 2 72 74 120 122 168 170 240 242	-287910914892
TPT(14)	3006697103951382221	0 2 30 32 78 80 186 188 210 212 228 230 246 248	262749437910
STPT(10)	3006697115875035431	0 2 30 32 60 62 90 92 120 122	274673091120
STPT(10)	3006697359731919857	0 2 12 14 132 134 252 254 264 266	518529975546
SPT(16)	3006698557820184587	0 6 24 42 54 66 90 192 324 426 450 462 474 492 510 516	1716618240276
SPT(16)	3006698647988043733	0 4 60 70 114 124 126 154 186 214 216 226 270 280 336 340	1806786099422