Prime p₀= 3684902403956387177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 118 2 28 2 46 2 40 2 (?)
a_n: 0 2 90 92 102 104 222 224 252 254 300 302 342 344
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: 344
Found by: [AF] Kalianthys
db: batch=84, k=14, 88 10 118 28 46 40

SPT(16)	3684901664028633637	0 42 52 70 114 166 184 186 220 222 240 292 336 354 364 406	-739927753540
STPT(10)	3684901764057664571	0 2 36 38 78 80 120 122 156 158	-639898722606
SPT(18)	3684901850453688889	0 30 40 70 72 78 84 90 94 138 142 148 154 160 162 192 202 232	-553502698288
STPT(10)	3684902247435663731	0 2 36 38 138 140 240 242 276 278	-156520723446
STPT(12)	3684902332162707737	0 2 30 32 42 44 132 134 144 146 174 176	-71793679440
STPT(10)	3684902363560714727	0 2 12 14 72 74 132 134 144 146	-40395672450
SPT(16)	3684902559652076759	0 2 42 80 84 98 132 138 164 170 204 218 222 260 300 302	155695689582
SPT(16)	3684902694324236557	0 16 34 42 60 72 82 84 172 174 184 196 214 222 240 256	290367849380
SPT(16)	3684902831071332349	0 30 70 180 220 234 240 294 334 388 394 408 448 558 598 628	427114945172
SPT(16)	3684902849991887219	0 42 68 132 152 180 218 222 260 264 302 330 350 414 440 482	446035500042
STPT(10)	3684902931958129961	0 2 30 32 78 80 126 128 156 158	528001742784