Prime p₀= 2852163273255345197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 166 2 16 2 40 2 10 2 148 2 (?)
a_n: 0 2 24 26 192 194 210 212 252 254 264 266 414 416
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: 416
Found by: vladimir
db: batch=82, k=14, 22 166 16 40 10 148

SPT(16)	2852162522801523383	0 50 60 74 78 138 144 188 210 254 260 320 324 338 348 398	-750453821814
STPT(10)	2852162566856634149	0 2 18 20 30 32 42 44 60 62	-706398711048
SPT(16)	2852162663973997027	0 12 52 66 76 96 106 120 196 210 220 240 250 264 304 316	-609281348170
STPT(10)	2852162732721056717	0 2 30 32 42 44 54 56 84 86	-540534288480
SPT(16)	2852162900136875197	0 4 10 22 34 52 60 120 136 196 204 222 234 246 252 256	-373118470000
SPT(16)	2852163258661420343	0 24 38 44 104 128 138 194 210 266 276 300 360 366 380 404	-14593924854
STPT(10)	2852163326693675507	0 2 60 62 102 104 144 146 204 206	53438330310
STPT(10)	2852163341539188359	0 2 12 14 90 92 168 170 180 182	68283843162
SPT(16)	2852163436703604449	0 2 44 72 90 200 210 222 242 254 264 374 392 420 462 464	163448259252
SPT(16)	2852163663711286349	0 24 50 54 84 98 104 120 152 168 174 188 218 222 248 272	390455941152
SPT(16)	2852164517577000541	0 6 12 42 76 90 102 126 142 166 178 192 226 256 262 268	1244321655344