Prime p₀= 3002608549748443157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 4 2 28 2 82 2 34 2 (?)
a_n: 0 2 42 44 54 56 60 62 90 92 174 176 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=14, 40 10 4 28 82 34

SPT(16)	3002606671433722651	0 6 16 28 90 126 130 216 310 396 400 436 498 510 520 526	-1878314720506
SPT(16)	3002606731394504921	0 26 30 56 96 98 126 152 186 212 240 242 282 308 312 338	-1818353938236
SPT(16)	3002606998186093561	0 22 46 48 90 102 126 156 172 202 226 238 280 282 306 328	-1551562349596
STPT(10)	3002607662398212917	0 2 42 44 72 74 102 104 144 146	-887350230240
SPT(16)	3002608161866694397	0 16 30 60 64 76 102 132 184 214 240 252 256 286 300 316	-387881748760
STPT(10)	3002608391329740539	0 2 90 92 150 152 210 212 300 302	-158418702618
SPT(16)	3002608606412003999	0 14 20 44 134 152 212 224 300 312 372 390 480 504 510 524	56663560842
STPT(10)	3002608811612223587	0 2 42 44 72 74 102 104 144 146	261863780430
STPT(10)	3002608874179700909	0 2 12 14 30 32 48 50 60 62	324431257752
TPT(14)	3002609005854084827	0 2 12 14 102 104 114 116 210 212 222 224 252 254	456105641670
STPT(10)	3002609284792170671	0 2 36 38 78 80 120 122 156 158	735043727514