Prime p₀= 2701467009577053959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 28 2 10 2 166 2 28 2 (?)
a_n: 0 2 90 92 138 140 168 170 180 182 348 350 378 380
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: biodoc
db: batch=82, k=14, 88 46 28 10 166 28

STPT(10)	2701465851868921727	0 2 42 44 72 74 102 104 144 146	-1157708132232
STPT(10)	2701465891614922319	0 2 18 20 30 32 42 44 60 62	-1117962131640
SPT(16)	2701466310107737649	0 8 38 44 50 114 140 158 204 222 248 312 318 324 354 362	-699469316310
STPT(12)	2701466403135111569	0 2 12 14 42 44 138 140 168 170 180 182	-606441942390
SPT(16)	2701466656260587581	0 28 42 60 72 78 120 126 172 178 220 226 238 256 270 298	-353316466378
TPT(14)	2701466969434909757	0 2 72 74 102 104 144 146 210 212 240 242 552 554	-40142144202
STPT(10)	2701467286906559399	0 2 48 50 90 92 132 134 180 182	277329505440
SPT(16)	2701467679664417233	0 10 36 66 78 94 100 124 150 174 180 196 208 238 264 274	670087363274
STPT(10)	2701467961370966999	0 2 72 74 180 182 288 290 360 362	951793913040
TPT(14)	2701468110835759037	0 2 12 14 90 92 222 224 234 236 264 266 300 302	1101258705078
STPT(10)	2701468119155656967	0 2 30 32 42 44 54 56 84 86	1109578603008