Prime p₀= 2768692145069491391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 16 2 10 2 76 2 16 2 (?)
a_n: 0 2 36 38 60 62 78 80 90 92 168 170 186 188
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: 188
Found by: RFGuy_KCCO
db: batch=82, k=14, 34 22 16 10 76 16

STPT(10)	2768690993767859981	0 2 6 8 18 20 30 32 36 38	-1151301631410
SPT(16)	2768691443194182637	0 10 112 192 196 214 222 234 292 304 312 330 334 414 516 526	-701875308754
SPT(16)	2768691642067846757	0 14 44 80 84 150 152 182 204 234 236 302 306 342 372 386	-503001644634
SPT(16)	2768691824921385173	0 18 20 24 56 104 116 150 314 348 360 408 440 444 446 464	-320148106218
SPT(16)	2768691866023228073	0 18 54 78 84 110 120 164 180 224 234 260 266 290 326 344	-279046263318
SPT(16)	2768691921068136907	0 16 54 166 204 210 216 226 270 280 286 292 330 442 480 496	-224001354484
SPT(16)	2768692512070130227	0 52 82 102 124 136 162 186 190 214 240 252 274 294 324 376	367000638836
TPT(14)	2768693109202717199	0 2 42 44 60 62 180 182 198 200 228 230 312 314	964133225808
STPT(10)	2768693693762822897	0 2 30 32 42 44 54 56 84 86	1548693331506
STPT(10)	2768694036840055139	0 2 12 14 30 32 48 50 60 62	1891770563748
STPT(12)	2768694103986208577	0 2 12 14 54 56 60 62 102 104 114 116	1958916717186