Prime p₀= 2602344406013402537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 40 2 4 2 22 2 28 2 (?)
a_n: 0 2 12 14 42 44 84 86 90 92 114 116 144 146
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: 146
Found by: kotenok2000
db: batch=82, k=14, 10 28 40 4 22 28

SPT(16)	2602343472265594403	0 24 26 54 84 140 264 266 288 290 414 470 500 528 530 554	-933747808134
SPT(13)	2602343621924618501	0 18 30 72 90 102 150 198 210 228 270 282 300	-784088784036
TPT(14)	2602343908611816701	0 2 66 68 138 140 180 182 336 338 426 428 468 470	-497401585836
SPT(16)	2602344059080594363	0 34 40 54 78 90 108 124 150 166 184 196 220 234 240 274	-346932808174
STPT(10)	2602344065018920049	0 2 42 44 60 62 78 80 120 122	-340994482488
TPT(14)	2602344362940406349	0 2 18 20 42 44 72 74 102 104 168 170 210 212	-43072996188
SPT(16)	2602344408899255287	0 42 54 72 106 130 144 172 204 232 246 270 304 322 334 376	2885852750
TPT(14)	2602344440123592431	0 2 36 38 66 68 126 128 156 158 168 170 180 182	34110189894
STPT(10)	2602344662614487771	0 2 78 80 138 140 198 200 276 278	256601085234
STPT(10)	2602344942014902001	0 2 30 32 78 80 126 128 156 158	536001499464
SPT(16)	2602344963991745243	0 18 66 84 96 98 134 138 146 150 186 188 200 218 266 284	557978342706