Prime p₀= 1953478935779415761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 40 2 16 2 28 2 76 2 (?)
a_n: 0 2 66 68 78 80 120 122 138 140 168 170 246 248
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: 248
Found by: conf [MM]
db: batch=80, k=14, 64 10 40 16 28 76

SPT(16)	1953477690963223637	0 2 24 42 50 114 150 156 170 176 212 276 284 302 324 326	-1244816192124
STPT(10)	1953477924202024067	0 2 12 14 42 44 72 74 84 86	-1011577391694
SPT(16)	1953478397871157933	0 40 46 54 130 154 168 180 244 256 270 294 370 378 384 424	-537908257828
SPT(16)	1953478620079138627	0 30 34 96 102 124 142 180 256 294 312 334 340 402 406 436	-315700277134
SPT(16)	1953478779870819517	0 10 12 16 24 30 42 54 142 154 166 172 180 184 186 196	-155908596244
SPT(16)	1953478934572225517	0 32 36 66 72 86 146 150 182 186 246 260 266 296 300 332	-1207190244
SPT(16)	1953479590121398519	0 22 24 52 70 154 160 190 192 222 228 312 330 358 360 382	654341982758
SPT(16)	1953479624528961181	0 6 16 22 48 72 120 132 136 148 196 220 246 252 262 268	688749545420
SPT(16)	1953479682989843549	0 50 62 78 102 132 144 204 338 398 410 440 464 480 492 542	747210427788
STPT(10)	1953479693579720399	0 2 18 20 30 32 42 44 60 62	757800304638
STPT(10)	1953480306350601617	0 2 30 32 42 44 54 56 84 86	1370571185856