Prime p₀= 2905366897194063647 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 16 2 22 2 58 2 46 2 (?)
a_n: 0 2 72 74 102 104 120 122 144 146 204 206 252 254
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: 254
Found by: JohnMD
db: batch=82, k=14, 70 28 16 22 58 46

SPT(16)	2905365857070627967	0 4 16 46 60 66 90 142 354 406 430 436 450 480 492 496	-1040123435680
SPT(16)	2905365954188554033	0 24 60 88 94 118 130 184 204 258 270 294 300 328 364 388	-943005509614
STPT(10)	2905366219746056189	0 2 12 14 90 92 168 170 180 182	-677448007458
STPT(10)	2905366359628346459	0 2 18 20 30 32 42 44 60 62	-537565717188
SPT(16)	2905366413372532567	0 6 66 90 132 174 184 204 232 252 262 304 346 370 430 436	-483821531080
SPT(16)	2905366760346471131	0 2 32 36 60 98 102 168 170 236 240 278 302 306 336 338	-136847592516
SPT(16)	2905367149661476901	0 30 60 98 102 146 188 200 228 240 282 326 330 368 398 428	252467413254
SPT(18)	2905367259590031923	0 38 56 60 108 110 150 170 194 240 264 284 324 326 374 378 396 434	362395968276
TPT(14)	2905367435466738467	0 2 42 44 54 56 84 86 192 194 234 236 240 242	538272674820
SPT(16)	2905367810933971661	0 12 32 36 38 42 48 78 80 110 116 120 122 126 146 158	913739908014
SPT(16)	2905368071550807427	0 10 12 22 24 34 36 94 162 220 222 232 234 244 246 256	1174356743780