Prime p₀= 2602344440123592431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 58 2 28 2 10 2 10 2 (?)
a_n: 0 2 36 38 66 68 126 128 156 158 168 170 180 182
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: 182
Found by: kotenok2000
db: batch=82, k=14, 34 28 58 28 10 10

TPT(14)	2602343908611816701	0 2 66 68 138 140 180 182 336 338 426 428 468 470	-531511775730
SPT(16)	2602344059080594363	0 34 40 54 78 90 108 124 150 166 184 196 220 234 240 274	-381042998068
STPT(10)	2602344065018920049	0 2 42 44 60 62 78 80 120 122	-375104672382
TPT(14)	2602344362940406349	0 2 18 20 42 44 72 74 102 104 168 170 210 212	-77183186082
TPT(14)	2602344406013402537	0 2 12 14 42 44 84 86 90 92 114 116 144 146	-34110189894
SPT(16)	2602344408899255287	0 42 54 72 106 130 144 172 204 232 246 270 304 322 334 376	-31224337144
STPT(10)	2602344662614487771	0 2 78 80 138 140 198 200 276 278	222490895340
STPT(10)	2602344942014902001	0 2 30 32 78 80 126 128 156 158	501891309570
SPT(16)	2602344963991745243	0 18 66 84 96 98 134 138 146 150 186 188 200 218 266 284	523868152812
SPT(16)	2602345159844232193	0 10 88 100 118 138 186 196 198 208 256 276 294 306 384 394	719720639762
STPT(10)	2602345287193175009	0 2 12 14 90 92 168 170 180 182	847069582578