Prime p₀= 2694327429024482981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 64 2 10 2 46 2 22 2 (?)
a_n: 0 2 78 80 120 122 186 188 198 200 246 248 270 272
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: 272
Found by: RFGuy_KCCO
db: batch=82, k=14, 76 40 64 10 46 22

SPT(16)	2694325905127216741	0 28 30 52 66 106 148 166 192 210 252 292 306 328 330 358	-1523897266240
STPT(10)	2694326149585755857	0 2 30 32 42 44 54 56 84 86	-1279438727124
SPT(16)	2694326417997414241	0 16 18 30 40 82 88 100 138 150 156 198 208 220 222 238	-1011027068740
STPT(10)	2694326592976591721	0 2 36 38 78 80 120 122 156 158	-836047891260
STPT(10)	2694326628152649401	0 2 6 8 18 20 30 32 36 38	-800871833580
SPT(16)	2694326859154542011	0 30 72 110 126 138 156 168 170 182 200 212 228 266 308 338	-569869940970
SPT(16)	2694328260378412379	0 8 38 50 54 120 122 138 194 210 212 278 282 294 324 332	831353929398
SPT(16)	2694328354587575527	0 6 24 34 100 106 126 150 286 310 330 336 402 412 430 436	925563092546
STPT(10)	2694328451074007567	0 2 30 32 42 44 54 56 84 86	1022049524586
SPT(16)	2694329185546529059	0 90 118 130 144 210 222 292 300 370 382 448 462 474 502 592	1756522046078
SPT(16)	2694329623923138121	0 6 12 30 42 76 90 100 138 148 162 196 208 226 232 238	2194898655140