Prime p₀= 1016780642138929691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 136 2 52 2 34 2 22 2 (?)
a_n: 0 2 6 8 18 20 156 158 210 212 246 248 270 272
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: HenkM
db: batch=76, k=14, 4 10 136 52 34 22

SPT(13)	1016780183077295491	0 18 108 138 150 180 210 240 270 282 312 402 420	-459061634200
SPT(16)	1016780297304492473	0 26 48 74 90 96 98 110 174 186 188 194 210 236 258 284	-344834437218
SPT(16)	1016780309939170121	0 42 48 78 98 140 156 170 258 272 288 330 350 380 386 428	-332199759570
TPT(14)	1016780448599694197	0 2 12 14 24 26 42 44 84 86 102 104 150 152	-193539235494
SPT(16)	1016780584963812829	0 18 70 72 108 118 132 172 198 238 252 262 298 300 352 370	-57175116862
SPT(16)	1016780606059117787	0 20 32 54 72 114 194 242 264 312 392 434 452 474 486 506	-36079811904
STPT(10)	1016780706327682991	0 2 30 32 60 62 90 92 120 122	64188753300
STPT(10)	1016781152198159609	0 2 18 20 30 32 42 44 60 62	510059229918
SPT(16)	1016781261092975783	0 26 54 74 98 104 110 140 234 264 270 276 300 320 348 374	618954046092
STPT(10)	1016781697639871039	0 2 30 32 60 62 90 92 120 122	1055500941348
SPT(16)	1016781952765547513	0 18 20 44 114 174 200 230 264 294 320 380 450 474 476 494	1310626617822