Prime p₀= 2134599313772874017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 4 2 40 2 40 2 34 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 144 146 180 182
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: 182
Found by: Odd-Rod
db: batch=80, k=14, 10 40 4 40 40 34

STPT(10)	2134598274103094477	0 2 30 32 42 44 54 56 84 86	-1039669779540
SPT(16)	2134598522197017013	0 36 46 78 130 156 168 198 298 328 340 366 418 450 460 496	-791575857004
SPT(16)	2134598570105906699	0 32 42 72 98 120 132 144 158 170 182 204 230 260 270 302	-743666967318
SPT(16)	2134598651202222397	0 12 30 36 40 52 90 100 132 142 180 192 196 202 220 232	-662570651620
SPT(16)	2134598776473949393	0 6 28 48 84 138 180 186 208 214 256 310 346 366 388 394	-537298924624
STPT(10)	2134599157466236079	0 2 12 14 90 92 168 170 180 182	-156306637938
TPT(14)	2134599409817685929	0 2 18 20 150 152 228 230 240 242 312 314 390 392	96044811912
STPT(10)	2134599521042861669	0 2 18 20 30 32 42 44 60 62	207269987652
SPT(16)	2134600028134651657	0 4 24 42 46 54 66 82 114 130 142 150 154 172 192 196	714361777640
SPT(16)	2134600130811466499	0 32 42 84 104 108 114 132 140 158 164 168 188 230 240 272	817038592482
STPT(10)	2134600353175522259	0 2 18 20 30 32 42 44 60 62	1039402648242