Prime p₀= 865667562268465301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 40 2 76 2 88 2 10 2 (?)
a_n: 0 2 48 50 78 80 120 122 198 200 288 290 300 302
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: 302
Found by: RFGuy_KCCO
db: batch=73, k=14, 46 28 40 76 88 10

SPT(16)	865665821304025043	0 14 44 80 180 194 206 236 264 294 306 320 420 456 486 500	-1740964440258
STPT(10)	865665910074942419	0 2 18 20 60 62 102 104 120 122	-1652193522882
SPT(16)	865666595172397573	0 16 18 64 106 114 120 150 154 184 190 198 240 286 288 304	-967096067728
SPT(13)	865666669272887149	0 12 114 162 222 240 252 264 282 342 390 492 504	-892995578152
SPT(16)	865666868076986309	0 8 24 68 74 102 104 120 122 138 140 168 174 218 234 242	-694191478992
SPT(16)	865667120428746131	0 18 26 30 38 66 156 168 170 182 272 300 308 312 320 338	-441839719170
SPT(16)	865667866877413133	0 18 24 66 78 84 120 140 144 164 200 206 218 260 266 284	304608947832
SPT(16)	865667898645189001	0 6 10 40 48 60 70 88 90 108 118 130 138 168 172 178	336376723700
STPT(10)	865668925391961497	0 2 30 32 102 104 174 176 204 206	1363123496196
SPT(16)	865669380775897289	0 18 20 42 60 102 168 180 230 242 308 350 368 390 392 410	1818507431988
SPT(16)	865669876270963447	0 6 10 12 36 46 52 66 106 120 126 136 160 162 166 172	2314002498146