Prime p₀= 2486596512230912369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 4 2 58 2 28 2 22 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 168 170 192 194
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: 194
Found by: JayPi
db: batch=82, k=14, 10 58 4 58 28 22

STPT(10)	2486594830806020951	0 2 30 32 78 80 126 128 156 158	-1681424891418
STPT(10)	2486595081494423069	0 2 18 20 60 62 102 104 120 122	-1430736489300
STPT(10)	2486595667366285217	0 2 12 14 42 44 72 74 84 86	-844864627152
SPT(16)	2486595823169222299	0 10 28 64 118 120 124 138 190 204 208 210 264 300 318 328	-689061690070
SPT(16)	2486595887391813257	0 14 36 60 86 104 144 162 224 242 282 300 326 350 372 386	-624839099112
TPT(14)	2486596295934832181	0 2 6 8 36 38 126 128 156 158 240 242 246 248	-216296080188
SPT(16)	2486596517794739213	0 108 114 140 234 240 246 266 288 308 314 320 414 440 446 554	5563826844
SPT(16)	2486596675165905551	0 20 32 42 56 140 146 188 240 282 288 372 386 396 408 428	162934993182
STPT(10)	2486596894485917957	0 2 42 44 102 104 162 164 204 206	382255005588
SPT(16)	2486596939138726003	0 18 46 64 84 94 108 126 178 196 210 220 240 258 286 304	426907813634
STPT(10)	2486596951317436427	0 2 30 32 42 44 54 56 84 86	439086524058