Prime p₀= 2157440651914205597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 102 104 132 134 162 164
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: 164
Found by: Landjunge
db: batch=81, k=14, 28 10 16 40 28 28

STPT(10)	2157438769806799649	0 2 18 20 30 32 42 44 60 62	-1882107405948
SPT(16)	2157438880868879521	0 36 58 60 90 130 132 138 190 196 198 238 268 270 292 328	-1771045326076
STPT(10)	2157439336274146019	0 2 18 20 30 32 42 44 60 62	-1315640059578
SPT(16)	2157439725842812121	0 12 18 42 60 62 138 152 168 182 258 260 278 302 308 320	-926071393476
SPT(18)	2157439793051322727	0 16 30 52 54 96 132 150 156 220 226 244 280 322 324 346 360 376	-858862882870
SPT(16)	2157440364698986531	0 48 52 66 76 108 120 178 180 238 250 282 292 306 310 358	-287215219066
SPT(13)	2157440733890252737	0 12 72 84 90 114 132 150 174 180 192 252 264	81976047140
SPT(16)	2157441058356573383	0 56 66 114 116 140 218 240 344 366 444 468 470 518 528 584	406442367786
SPT(16)	2157441175231932817	0 34 40 82 84 90 112 132 142 162 184 190 192 234 240 274	523317727220
SPT(16)	2157441431675635373	0 30 38 78 80 134 156 186 188 218 240 294 296 336 344 374	779761429776
STPT(10)	2157441515983654889	0 2 18 20 30 32 42 44 60 62	864069449292