Prime p₀= 2569856474629803221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 250 2 10 2 106 2 10 2 (?)
a_n: 0 2 30 32 36 38 288 290 300 302 408 410 420 422
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: RFGuy_KCCO
db: batch=82, k=14, 28 4 250 10 106 10

TPT(14)	2569853931287469731	0 2 36 38 48 50 90 92 186 188 210 212 288 290	-2543342333490
TPT(14)	2569854212024281067	0 2 30 32 72 74 84 86 114 116 144 146 240 242	-2262605522154
SPT(16)	2569854251201421227	0 24 26 86 116 156 186 194 492 500 530 570 600 660 662 686	-2223428381994
TPT(14)	2569854377285968679	0 2 12 14 18 20 30 32 60 62 210 212 240 242	-2097343834542
STPT(10)	2569854643431575699	0 2 12 14 90 92 168 170 180 182	-1831198227522
SPT(16)	2569854891362859203	0 6 24 26 78 80 104 146 168 210 234 236 288 290 308 314	-1583266944018
STPT(10)	2569856681065126469	0 2 78 80 120 122 162 164 240 242	206435323248
TPT(14)	2569856702696560439	0 2 30 32 120 122 162 164 222 224 240 242 360 362	228066757218
STPT(10)	2569857082524983261	0 2 6 8 48 50 90 92 96 98	607895180040
STPT(10)	2569857652261759499	0 2 48 50 90 92 132 134 180 182	1177631956278
STPT(10)	2569857795711971621	0 2 36 38 108 110 180 182 216 218	1321082168400