Prime p₀= 2402100859681334111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 82 2 28 2 124 2 10 2 58 2 (?)
a_n: 0 2 66 68 150 152 180 182 306 308 318 320 378 380
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: 380
Found by: [SG-FC] hl
db: batch=82, k=14, 64 82 28 124 10 58

SPT(16)	2402099184738792809	0 12 30 102 128 158 180 204 218 242 264 294 320 392 410 422	-1674942541302
STPT(10)	2402099878696625927	0 2 30 32 42 44 54 56 84 86	-980984708184
SPT(16)	2402099996499903751	0 42 46 90 108 112 132 160 228 256 276 280 298 342 346 388	-863181430360
STPT(10)	2402100014777561597	0 2 42 44 72 74 102 104 144 146	-844903772514
STPT(10)	2402100447300615947	0 2 54 56 72 74 90 92 144 146	-412380718164
TPT(14)	2402100649927377167	0 2 30 32 150 152 192 194 234 236 270 272 294 296	-209753956944
TPT(14)	2402101268449591277	0 2 60 62 72 74 84 86 132 134 162 164 174 176	408768257166
SPT(16)	2402101306431492397	0 4 6 34 54 90 144 174 202 232 286 322 342 370 372 376	446750158286
SPT(16)	2402101434257794219	0 84 100 108 112 124 130 144 178 192 198 210 214 222 238 322	574576460108
SPT(16)	2402101576446826483	0 64 76 78 120 144 154 166 168 180 190 214 256 258 270 334	716765492372
STPT(10)	2402101848899193149	0 2 42 44 60 62 78 80 120 122	989217859038