Prime p₀= 4276927707424298699 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 10 2 76 2 76 2 28 2 (?)
a_n: 0 2 42 44 120 122 132 134 210 212 288 290 318 320
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: 320
Found by: Arkhenia
db: batch=85, k=14, 40 76 10 76 76 28

STPT(10)	4276926743856303077	0 2 90 92 102 104 114 116 204 206	-963567995622
TPT(14)	4276926744994593791	0 2 48 50 78 80 126 128 138 140 210 212 318 320	-962429704908
SPT(16)	4276926900375543751	0 10 30 126 168 186 208 210 238 240 262 280 322 418 438 448	-807048754948
SPT(16)	4276926966166599863	0 20 26 44 56 68 110 140 144 174 216 228 240 258 264 284	-741257698836
SPT(16)	4276927410292875629	0 12 20 32 42 144 194 212 240 258 308 410 420 432 440 452	-297131423070
STPT(10)	4276927601006446229	0 2 18 20 30 32 42 44 60 62	-106417852470
STPT(10)	4276927987853214479	0 2 42 44 60 62 78 80 120 122	280428915780
SPT(16)	4276928121049956439	0 22 78 84 162 204 210 250 282 322 328 370 448 454 510 532	413625657740
STPT(10)	4276928376553325807	0 2 12 14 42 44 72 74 84 86	669129027108
SPT(16)	4276928387046795241	0 46 60 72 90 100 112 132 136 156 168 178 196 208 222 268	679622496542
SPT(16)	4276928770166022947	0 36 42 62 74 110 132 152 204 224 246 282 294 314 320 356	1062741724248