Prime p₀= 2678348944898045777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 40 2 88 2 76 2 250 2 (?)
a_n: 0 2 12 14 72 74 114 116 204 206 282 284 534 536
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: 536
Found by: Asgard2022
db: batch=82, k=14, 10 58 40 88 76 250

SPT(16)	2678347341853993573	0 18 60 70 78 84 100 106 108 114 130 136 144 154 196 214	-1603044052204
STPT(10)	2678347414950769319	0 2 18 20 30 32 42 44 60 62	-1529947276458
SPT(16)	2678347484193083299	0 42 70 130 132 192 214 220 234 240 262 322 324 384 412 454	-1460704962478
STPT(10)	2678347710265367531	0 2 180 182 210 212 240 242 420 422	-1234632678246
SPT(16)	2678348028255839767	0 10 22 60 90 102 142 144 202 204 244 256 286 324 336 346	-916642206010
SPT(16)	2678348057340395641	0 12 82 88 90 102 130 138 160 168 196 208 210 216 286 298	-887557650136
STPT(10)	2678349545958788027	0 2 30 32 42 44 54 56 84 86	601060742250
SPT(16)	2678349668184626327	0 6 42 66 72 92 170 182 204 216 294 314 320 344 380 386	723286580550
STPT(10)	2678349718408991069	0 2 18 20 60 62 102 104 120 122	773510945292
STPT(10)	2678349774645183851	0 2 36 38 78 80 120 122 156 158	829747138074
STPT(10)	2678349839184589049	0 2 18 20 30 32 42 44 60 62	894286543272