Prime p₀= 2313598780381835201 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 58 2 10 2 70 2 76 2 (?)
a_n: 0 2 36 38 66 68 126 128 138 140 210 212 288 290
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: 290
Found by: Landjunge
db: batch=81, k=14, 34 28 58 10 70 76

STPT(10)	2313597757338494069	0 2 42 44 60 62 78 80 120 122	-1023043341132
SPT(16)	2313597777651434657	0 6 42 62 92 96 144 152 174 182 230 234 264 284 320 326	-1002730400544
SPT(16)	2313598193813524399	0 4 18 22 28 88 90 112 270 292 294 354 360 364 378 382	-586568310802
STPT(10)	2313598281544540091	0 2 6 8 48 50 90 92 96 98	-498837295110
SPT(16)	2313598294858797433	0 4 54 58 84 120 186 210 244 268 334 370 396 400 450 454	-485523037768
STPT(10)	2313598585549671281	0 2 36 38 78 80 120 122 156 158	-194832163920
STPT(10)	2313598890596365817	0 2 30 32 42 44 54 56 84 86	110214530616
STPT(10)	2313598913785617551	0 2 36 38 78 80 120 122 156 158	133403782350
SPT(16)	2313598988615123557	0 24 40 64 96 106 112 124 132 144 150 160 192 216 232 256	208233288356
STPT(10)	2313599332616297951	0 2 36 38 78 80 120 122 156 158	552234462750
SPT(16)	2313599508724265323	0 58 70 106 148 160 178 184 210 216 234 246 288 324 336 394	728342430122