Prime p₀= 1307217065207122829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 70 2 88 2 10 2 28 2 76 2 (?)
a_n: 0 2 138 140 210 212 300 302 312 314 342 344 420 422
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: 422
Found by: [SG-2W]Kurzer
db: batch=77, k=14, 136 70 88 10 28 76

SPT(16)	1307216362066633289	0 8 14 20 78 104 108 120 122 134 138 164 222 228 234 242	-703140489540
STPT(10)	1307216702390227631	0 2 36 38 78 80 120 122 156 158	-362816895198
SPT(16)	1307216916735657997	0 10 42 60 66 132 136 144 202 210 214 280 286 304 336 346	-148471464832
SPT(16)	1307216971890542863	0 28 30 78 90 108 160 174 220 234 286 304 316 364 366 394	-93316579966
STPT(10)	1307216983392790661	0 2 36 38 78 80 120 122 156 158	-81814332168
SPT(16)	1307217002736849781	0 12 40 42 52 70 96 120 208 232 258 276 286 288 316 328	-62470273048
TPT(14)	1307217268898669069	0 2 60 62 102 104 138 140 168 170 210 212 240 242	203691546240
SPT(16)	1307217429732970309	0 10 30 42 58 78 82 100 120 138 142 162 178 190 210 220	364525847480
TPT(14)	1307217471077762339	0 2 18 20 102 104 138 140 210 212 240 242 270 272	405870639510
SPT(13)	1307217475144516469	0 18 24 30 84 108 114 120 144 198 204 210 228	409937393640
STPT(10)	1307217612079174919	0 2 12 14 30 32 48 50 60 62	546872052090