Prime p₀= 2844688854856383287 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 190 2 40 2 58 2 34 2 (?)
a_n: 0 2 42 44 60 62 252 254 294 296 354 356 390 392
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: 392
Found by: suriv
db: batch=82, k=14, 40 16 190 40 58 34

SPT(16)	2844687674734757147	0 60 74 92 140 162 170 174 200 204 212 234 282 300 314 374	-1180121626140
SPT(16)	2844688009914801139	0 40 48 148 160 204 222 244 258 280 298 342 354 454 462 502	-844941582148
TPT(14)	2844688566989267597	0 2 54 56 102 104 144 146 174 176 240 242 342 344	-287867115690
SPT(16)	2844688809418823407	0 10 52 66 82 96 196 252 304 360 460 474 490 504 546 556	-45437559880
SPT(16)	2844688840310185283	0 24 86 90 98 114 128 140 174 186 200 216 224 228 290 314	-14546198004
STPT(10)	2844688851483057749	0 2 18 20 30 32 42 44 60 62	-3373325538
SPT(16)	2844689205702807733	0 28 30 90 96 100 118 160 204 246 264 268 274 334 336 364	350846424446
SPT(16)	2844689275075323259	0 30 72 108 132 138 184 202 240 258 304 310 334 370 412 442	420218939972
SPT(16)	2844689677814489387	0 2 26 44 60 72 84 114 122 152 164 176 192 210 234 236	822958106100
SPT(16)	2844690064742511281	0 72 80 92 98 126 132 218 330 416 422 450 456 468 476 548	1209886127994
STPT(12)	2844691320764009459	0 2 30 32 42 44 108 110 120 122 150 152	2465907626172