Prime p₀= 2562858727585500557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 94 2 10 2 76 2 10 2 10 2 (?)
a_n: 0 2 24 26 120 122 132 134 210 212 222 224 234 236
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: 236
Found by: [SG-FC] hl
db: batch=82, k=14, 22 94 10 76 10 10

STPT(10)	2562857053623096689	0 2 18 20 30 32 42 44 60 62	-1673962403868
STPT(10)	2562857153868915401	0 2 36 38 78 80 120 122 156 158	-1573716585156
SPT(16)	2562857222641933351	0 10 60 78 88 106 142 148 150 156 192 210 220 238 288 298	-1504943567206
SPT(16)	2562857666752536779	0 42 48 120 134 182 218 240 272 294 330 378 392 464 470 512	-1060832963778
STPT(10)	2562857804920886897	0 2 12 14 72 74 132 134 144 146	-922664613660
SPT(13)	2562858122727769831	0 6 18 60 66 90 108 126 150 156 198 210 216	-604857730726
STPT(10)	2562858810265922471	0 2 90 92 210 212 330 332 420 422	82680421914
SPT(16)	2562859101051443693	0 20 38 56 80 90 108 116 240 248 266 276 300 318 336 356	373465943136
STPT(10)	2562859298691275327	0 2 42 44 72 74 102 104 144 146	571105774770
STPT(12)	2562859492611449849	0 2 42 44 102 104 138 140 198 200 240 242	765025949292
TPT(14)	2562860338710592937	0 2 90 92 102 104 144 146 162 164 210 212 240 242	1611125092380