Prime p₀= 2402256604560633881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 124 2 70 2 46 2 130 2 76 2 (?)
a_n: 0 2 60 62 186 188 258 260 306 308 438 440 516 518
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: 518
Found by: [SG-FC] hl
db: batch=82, k=14, 58 124 70 46 130 76

SPT(16)	2402255107975517381	0 6 12 30 48 90 110 200 378 468 488 530 548 566 572 578	-1496585116500
SPT(16)	2402255143395279421	0 12 46 90 100 130 132 162 166 196 198 228 238 282 316 328	-1461165354460
SPT(16)	2402255402933138999	0 32 108 140 192 198 210 278 294 362 374 380 432 464 540 572	-1201627494882
SPT(18)	2402255408257983169	0 42 48 112 162 168 178 180 190 222 232 234 244 250 300 364 370 412	-1196302650712
STPT(10)	2402255534191824989	0 2 18 20 30 32 42 44 60 62	-1070368808892
STPT(10)	2402256464729898767	0 2 42 44 72 74 102 104 144 146	-139830735114
STPT(10)	2402256606732178709	0 2 42 44 60 62 78 80 120 122	2171544828
STPT(10)	2402256655743725549	0 2 18 20 30 32 42 44 60 62	51183091668
SPT(16)	2402257029872624983	0 6 36 64 84 88 94 114 190 210 216 220 240 268 298 304	425311991102
STPT(10)	2402257189719403769	0 2 18 20 30 32 42 44 60 62	585158769888
STPT(10)	2402257441802238071	0 2 6 8 18 20 30 32 36 38	837241604190