Prime p₀= 771013180921781267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 136 2 58 2 10 2 28 2 (?)
a_n: 0 2 42 44 54 56 192 194 252 254 264 266 294 296
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: 296
Found by: Donn Pike (USAF Ret)
db: batch=73, k=14, 40 10 136 58 10 28

STPT(10)	771012510974536667	0 2 12 14 72 74 132 134 144 146	-669947244600
STPT(10)	771012720496662911	0 2 36 38 78 80 120 122 156 158	-460425118356
SPT(16)	771013028222576017	0 22 30 40 64 84 102 114 172 184 202 222 246 256 264 286	-152699205250
SPT(16)	771013124737002689	0 14 50 54 62 68 72 78 104 110 114 120 128 132 168 182	-56184778578
TPT(14)	771013155270894299	0 2 12 14 30 32 78 80 162 164 288 290 348 350	-25650886968
STPT(10)	771013166945009237	0 2 60 62 72 74 84 86 144 146	-13976772030
SPT(16)	771013604711391121	0 6 28 36 40 106 108 138 190 220 222 288 292 300 322 328	423789609854
STPT(10)	771013899376369541	0 2 6 8 48 50 90 92 96 98	718454588274
TPT(14)	771013986120904661	0 2 78 80 90 92 126 128 156 158 168 170 198 200	805199123394
SPT(16)	771014106782847929	0 30 74 84 110 122 144 182 222 260 282 294 320 330 374 404	925861066662
SPT(16)	771014688832088947	0 10 12 24 42 94 130 186 220 276 312 364 382 394 396 406	1507910307680