Prime p₀= 2085867936422020547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 76 2 106 2 40 2 70 2 28 2 (?)
a_n: 0 2 24 26 102 104 210 212 252 254 324 326 354 356
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: 356
Found by: Landjunge
db: batch=80, k=14, 22 76 106 40 70 28

STPT(10)	2085866770512038387	0 2 30 32 42 44 54 56 84 86	-1165909982160
TPT(14)	2085866899483874189	0 2 12 14 18 20 90 92 102 104 180 182 198 200	-1036938146358
STPT(10)	2085867613175295977	0 2 24 26 42 44 60 62 84 86	-323246724570
STPT(10)	2085867661770399047	0 2 30 32 72 74 114 116 144 146	-274651621500
STPT(10)	2085867667503830261	0 2 6 8 18 20 30 32 36 38	-268918190286
SPT(16)	2085867809557312433	0 8 50 60 74 78 98 108 200 210 230 234 248 258 300 308	-126864708114
STPT(10)	2085868212400462727	0 2 12 14 42 44 72 74 84 86	275978442180
SPT(16)	2085868440746006131	0 28 52 66 96 108 118 138 190 210 220 232 262 276 300 328	504323985584
SPT(16)	2085868461460459031	0 20 38 42 68 80 96 116 132 152 168 180 206 210 228 248	525038438484
SPT(16)	2085868506214591753	0 4 6 18 64 76 88 100 144 156 168 180 226 238 240 244	569792571206
SPT(16)	2085868756397456333	0 24 36 44 50 56 84 86 114 116 144 150 156 164 176 200	819975435786