Prime p₀= 2664697276141955981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 190 2 40 2 16 2 10 2 46 2 (?)
a_n: 0 2 66 68 258 260 300 302 318 320 330 332 378 380
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: JayPi
db: batch=82, k=14, 64 190 40 16 10 46

SPT(16)	2664695604513718073	0 26 60 86 96 104 116 140 174 198 210 218 228 254 288 314	-1671628237908
STPT(10)	2664696019787487611	0 2 30 32 78 80 126 128 156 158	-1256354468370
STPT(10)	2664696114642123557	0 2 30 32 72 74 114 116 144 146	-1161499832424
SPT(18)	2664696435480498641	0 26 60 78 98 110 138 180 182 186 188 230 258 270 290 308 342 368	-840661457340
SPT(16)	2664696601362588697	0 34 64 100 106 114 120 154 156 190 196 204 210 246 276 310	-674779367284
STPT(10)	2664696665099690909	0 2 78 80 120 122 162 164 240 242	-611042265072
SPT(16)	2664697349448894421	0 12 46 48 72 82 88 138 160 210 216 226 250 252 286 298	73306938440
STPT(10)	2664697352967392339	0 2 42 44 60 62 78 80 120 122	76825436358
STPT(10)	2664697613050050047	0 2 30 32 42 44 54 56 84 86	336908094066
TPT(14)	2664697712391526541	0 2 90 92 120 122 156 158 228 230 240 242 270 272	436249570560
SPT(16)	2664697866633451631	0 8 20 36 72 132 138 140 168 170 176 236 272 288 300 308	590491495650