Prime p₀= 1856479599918686471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 10 2 76 2 88 2 130 2 (?)
a_n: 0 2 78 80 108 110 120 122 198 200 288 290 420 422
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: 422
Found by: [AF>Libristes] Dudumomo
db: batch=79, k=14, 76 28 10 76 88 130

SPT(16)	1856478742890424657	0 12 90 102 154 196 202 246 250 294 300 342 394 406 484 496	-857028261814
STPT(10)	1856479007667215819	0 2 18 20 30 32 42 44 60 62	-592251470652
SPT(16)	1856479023551204947	0 52 60 70 72 90 96 102 124 130 136 154 156 166 174 226	-576367481524
STPT(10)	1856479273751974307	0 2 72 74 102 104 132 134 204 206	-326166712164
SPT(16)	1856479286811516727	0 10 12 22 66 70 106 112 150 156 192 196 240 250 252 262	-313107169744
SPT(18)	1856479579046741569	0 48 82 112 120 174 180 238 250 282 294 352 358 412 420 450 484 532	-20871944902
SPT(16)	1856479959247409263	0 4 6 10 18 34 70 106 108 144 180 196 204 208 210 214	359328722792
SPT(16)	1856480148091044857	0 6 72 90 96 174 314 320 336 342 482 560 566 584 650 656	548172358386
SPT(16)	1856480448195476333	0 14 74 110 114 158 170 198 266 294 306 350 354 390 450 464	848276789862
SPT(16)	1856480719911186349	0 54 94 142 178 208 220 238 264 282 294 324 360 408 448 502	1119992499878
TPT(14)	1856480782527849617	0 2 42 44 144 146 150 152 192 194 234 236 282 284	1182609163146